diff --git a/cibuildwheel/architecture.py b/cibuildwheel/architecture.py
index 4fe43741..55a37caf 100644
--- a/cibuildwheel/architecture.py
+++ b/cibuildwheel/architecture.py
@@ -107,13 +107,29 @@ class Architecture(StrEnum):
                 case "auto32":
                     result |= cls.bitness_archs(platform=platform, bitness="32")
                 case _:
-                    try:
-                        result.add(cls(arch_str))
-                    except ValueError as e:
+                    if arch := cls._parse_arch_name(arch_str, platform=platform):
+                        result.add(arch)
+                    else:
                         msg = f"Invalid architecture '{arch_str}'"
-                        raise errors.ConfigurationError(msg) from e
+                        raise errors.ConfigurationError(msg)
         return result
 
+    @classmethod
+    def _parse_arch_name(cls, arch_str: str, platform: PlatformName) -> Self | None:
+        """Resolve an architecture name case-insensitively.
+
+        The same value (e.g. "arm64"/"ARM64") can map to different members
+        depending on the platform, so prefer a member valid for ``platform``
+        before falling back to any case-insensitive match.
+        """
+        for arch in cls.all_archs(platform):
+            if arch.value.lower() == arch_str.lower():
+                return arch
+        for arch in cls:
+            if arch.value.lower() == arch_str.lower():
+                return arch
+        return None
+
     @classmethod
     def native_arch(cls, platform: PlatformName) -> Self | None:
         native_machine = platform_module.machine()
diff --git a/unit_test/architecture_test.py b/unit_test/architecture_test.py
index 8d16b3d8..337ebe2d 100644
--- a/unit_test/architecture_test.py
+++ b/unit_test/architecture_test.py
@@ -7,6 +7,7 @@ import sys
 import pytest
 
 import cibuildwheel.architecture
+import cibuildwheel.errors
 from cibuildwheel.architecture import Architecture, arch_synonym
 
 TYPE_CHECKING = False
@@ -142,3 +143,33 @@ def test_arch_synonym(
     arch: str, from_platform: PlatformName, to_platform: PlatformName, expected: str | None
 ) -> None:
     assert arch_synonym(arch, from_platform, to_platform) == expected
+
+
+@pytest.mark.parametrize(
+    ("config", "platform", "expected"),
+    [
+        # Case-insensitive, platform-resolved names (issue #2373).
+        ("arm64", "windows", {Architecture.ARM64}),
+        ("ARM64", "windows", {Architecture.ARM64}),
+        ("amd64", "windows", {Architecture.AMD64}),
+        ("AMD64", "windows", {Architecture.AMD64}),
+        ("X86", "windows", {Architecture.x86}),
+        ("x86", "windows", {Architecture.x86}),
+        # macOS resolves the lowercase arm64 even when given uppercase.
+        ("ARM64", "macos", {Architecture.arm64}),
+        ("arm64", "macos", {Architecture.arm64}),
+        ("X86_64", "macos", {Architecture.x86_64}),
+        # Multiple, mixed-case archs in one config string.
+        ("arm64 amd64", "windows", {Architecture.ARM64, Architecture.AMD64}),
+    ],
+)
+def test_arch_parse_config_case_insensitive(
+    config: str, platform: PlatformName, expected: set[Architecture]
+) -> None:
+    assert Architecture.parse_config(config, platform) == expected
+
+
+@pytest.mark.parametrize("platform", ["windows", "macos", "linux"])
+def test_arch_parse_config_invalid(platform: PlatformName) -> None:
+    with pytest.raises(cibuildwheel.errors.ConfigurationError):
+        Architecture.parse_config("nonexistent", platform)