diff --git a/cibuildwheel/linux.py b/cibuildwheel/linux.py
index 6fd393dc..44bafc55 100644
--- a/cibuildwheel/linux.py
+++ b/cibuildwheel/linux.py
@@ -379,7 +379,9 @@ def build(options: Options, tmp_path: Path) -> None:  # noqa: ARG001
     try:
         # check the container engine is installed
         subprocess.run(
-            [options.globals.container_engine, "--version"], check=True, stdout=subprocess.DEVNULL
+            [options.globals.container_engine.name, "--version"],
+            check=True,
+            stdout=subprocess.DEVNULL,
         )
     except subprocess.CalledProcessError:
         print(
diff --git a/cibuildwheel/oci_container.py b/cibuildwheel/oci_container.py
index b2f6fe4a..1cbabc0d 100644
--- a/cibuildwheel/oci_container.py
+++ b/cibuildwheel/oci_container.py
@@ -11,6 +11,7 @@ import sys
 import typing
 import uuid
 from collections.abc import Mapping, Sequence
+from dataclasses import dataclass
 from pathlib import Path, PurePath, PurePosixPath
 from types import TracebackType
 from typing import IO, Dict
@@ -19,7 +20,16 @@ from ._compat.typing import Literal
 from .typing import PathOrStr, PopenBytes
 from .util import CIProvider, detect_ci_provider
 
-ContainerEngine = Literal["docker", "podman"]
+ContainerEngineName = Literal["docker", "podman"]
+
+
+@dataclass(frozen=True)
+class OCIContainerEngineConfig:
+    name: ContainerEngineName
+    create_args: Sequence[str] = ()
+
+
+DEFAULT_ENGINE = OCIContainerEngineConfig("docker")
 
 
 class OCIContainer:
@@ -57,7 +67,7 @@ class OCIContainer:
         image: str,
         simulate_32_bit: bool = False,
         cwd: PathOrStr | None = None,
-        engine: ContainerEngine = "docker",
+        engine: OCIContainerEngineConfig = DEFAULT_ENGINE,
     ):
         if not image:
             msg = "Must have a non-empty image to run."
@@ -84,13 +94,14 @@ class OCIContainer:
 
         subprocess.run(
             [
-                self.engine,
+                self.engine.name,
                 "create",
                 "--env=CIBUILDWHEEL",
                 f"--name={self.name}",
                 "--interactive",
                 "--volume=/:/host",  # ignored on CircleCI
                 *network_args,
+                *self.engine.create_args,
                 self.image,
                 *shell_args,
             ],
@@ -99,7 +110,7 @@ class OCIContainer:
 
         self.process = subprocess.Popen(
             [
-                self.engine,
+                self.engine.name,
                 "start",
                 "--attach",
                 "--interactive",
@@ -137,7 +148,7 @@ class OCIContainer:
         self.bash_stdin.close()
         self.bash_stdout.close()
 
-        if self.engine == "podman":
+        if self.engine.name == "podman":
             # This works around what seems to be a race condition in the podman
             # backend. The full reason is not understood. See PR #966 for a
             # discussion on possible causes and attempts to remove this line.
@@ -147,7 +158,7 @@ class OCIContainer:
         assert isinstance(self.name, str)
 
         subprocess.run(
-            [self.engine, "rm", "--force", "-v", self.name],
+            [self.engine.name, "rm", "--force", "-v", self.name],
             stdout=subprocess.DEVNULL,
             check=False,
         )
@@ -171,7 +182,7 @@ class OCIContainer:
             exec_process: subprocess.Popen[bytes]
             with subprocess.Popen(
                 [
-                    self.engine,
+                    self.engine.name,
                     "exec",
                     "-i",
                     str(self.name),
@@ -198,10 +209,10 @@ class OCIContainer:
         # note: we assume from_path is a dir
         to_path.mkdir(parents=True, exist_ok=True)
 
-        if self.engine == "podman":
+        if self.engine.name == "podman":
             subprocess.run(
                 [
-                    self.engine,
+                    self.engine.name,
                     "cp",
                     f"{self.name}:{from_path}/.",
                     str(to_path),
@@ -209,10 +220,10 @@ class OCIContainer:
                 check=True,
                 cwd=to_path,
             )
-        elif self.engine == "docker":
+        elif self.engine.name == "docker":
             # There is a bug in docker that prevents a simple 'cp' invocation
             # from working https://github.com/moby/moby/issues/38995
-            command = f"{self.engine} exec -i {self.name} tar -cC {shell_quote(from_path)} -f - . | tar -xf -"
+            command = f"{self.engine.name} exec -i {self.name} tar -cC {shell_quote(from_path)} -f - . | tar -xf -"
             subprocess.run(
                 command,
                 shell=True,
@@ -220,7 +231,7 @@ class OCIContainer:
                 cwd=to_path,
             )
         else:
-            raise KeyError(self.engine)
+            raise KeyError(self.engine.name)
 
     def glob(self, path: PurePosixPath, pattern: str) -> list[PurePosixPath]:
         glob_pattern = path.joinpath(pattern)
@@ -338,10 +349,10 @@ class OCIContainer:
         return self.call(command, env=environment, capture_output=True)
 
     def debug_info(self) -> str:
-        if self.engine == "podman":
-            command = f"{self.engine} info --debug"
+        if self.engine.name == "podman":
+            command = f"{self.engine.name} info --debug"
         else:
-            command = f"{self.engine} info"
+            command = f"{self.engine.name} info"
         completed = subprocess.run(
             command,
             shell=True,
diff --git a/cibuildwheel/options.py b/cibuildwheel/options.py
index 736f13a7..50cb91cd 100644
--- a/cibuildwheel/options.py
+++ b/cibuildwheel/options.py
@@ -22,7 +22,7 @@ from ._compat.typing import Literal, NotRequired, TypedDict
 from .architecture import Architecture
 from .environment import EnvironmentParseError, ParsedEnvironment, parse_environment
 from .logger import log
-from .oci_container import ContainerEngine
+from .oci_container import OCIContainerEngineConfig
 from .projectfiles import get_requires_python_str
 from .typing import PLATFORMS, PlatformName
 from .util import (
@@ -75,7 +75,7 @@ class GlobalOptions:
     build_selector: BuildSelector
     test_selector: TestSelector
     architectures: set[Architecture]
-    container_engine: ContainerEngine
+    container_engine: OCIContainerEngineConfig
 
 
 @dataclasses.dataclass(frozen=True)
diff --git a/unit_test/oci_container_test.py b/unit_test/oci_container_test.py
index 30739db7..e0fbcb50 100644
--- a/unit_test/oci_container_test.py
+++ b/unit_test/oci_container_test.py
@@ -12,7 +12,7 @@ import pytest
 import tomli_w
 
 from cibuildwheel.environment import EnvironmentAssignmentBash
-from cibuildwheel.oci_container import OCIContainer
+from cibuildwheel.oci_container import OCIContainer, OCIContainerEngineConfig
 
 # Test utilities
 
@@ -21,7 +21,7 @@ from cibuildwheel.oci_container import OCIContainer
 pm = platform.machine()
 if pm == "x86_64":
     DEFAULT_IMAGE = "quay.io/pypa/manylinux2014_x86_64:2020-05-17-2f8ac3b"
-elif pm == "aarch64":
+elif pm in ["aarch64", "arm64"]:
     DEFAULT_IMAGE = "quay.io/pypa/manylinux2014_aarch64:2020-05-17-2f8ac3b"
 elif pm == "ppc64le":
     DEFAULT_IMAGE = "quay.io/pypa/manylinux2014_ppc64le:2020-05-17-2f8ac3b"
@@ -37,7 +37,7 @@ def container_engine(request):
         pytest.skip("need --run-docker option to run")
     if request.param == "podman" and not request.config.getoption("--run-podman"):
         pytest.skip("need --run-podman option to run")
-    return request.param
+    return OCIContainerEngineConfig(name=request.param)
 
 
 # Tests
@@ -296,3 +296,18 @@ def test_podman_vfs(tmp_path: Path, monkeypatch, request):
     # as UID 0. The reason why permission errors occur on podman is documented
     # in https://podman.io/blogs/2018/10/03/podman-remove-content-homedir.html
     subprocess.run(["podman", "unshare", "rm", "-rf", vfs_path], check=True)
+
+
+def test_create_args(tmp_path: Path):
+    test_mount_dir = tmp_path / "test_mount"
+    test_mount_dir.mkdir()
+    (test_mount_dir / "test_file.txt").write_text("1234")
+    container_engine = OCIContainerEngineConfig(
+        name="docker", create_args=[f"--volume={test_mount_dir}:/test_mount"]
+    )
+
+    with OCIContainer(
+        engine=container_engine,
+        image=DEFAULT_IMAGE,
+    ) as container:
+        assert container.call(["cat", "/test_mount/test_file.txt"], capture_output=True) == "1234"