diff --git a/pandas/core/dtypes/common.py b/pandas/core/dtypes/common.py
index 4a8f1292ecdef..aa3cdcd65b344 100644
--- a/pandas/core/dtypes/common.py
+++ b/pandas/core/dtypes/common.py
@@ -638,7 +638,11 @@ def is_any_int_dtype(arr_or_dtype) -> bool:
     >>> is_any_int_dtype(pd.Index([1, 2.]))  # float
     False
     """
-    return _is_dtype_type(arr_or_dtype, classes(np.integer, np.timedelta64))
+    return _is_dtype_type(
+        arr_or_dtype, classes(np.integer, np.timedelta64)
+    ) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ.kind in "iu"
+    )
 
 
 def is_integer_dtype(arr_or_dtype) -> bool:
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 78c49ae066288..0a7303ea239ed 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -35,6 +35,8 @@
 )
 from pandas.errors import PerformanceWarning
 
+from pandas.core.dtypes.common import is_any_int_dtype
+
 import pandas as pd
 import pandas._testing as tm
 from pandas.api.types import (
@@ -1459,6 +1461,15 @@ def test_is_integer_dtype(data):
         assert not is_integer_dtype(data)
 
 
+def test_is_any_integer_dtype(data):
+    # GH 50667
+    pa_type = data.dtype.pyarrow_dtype
+    if pa.types.is_integer(pa_type):
+        assert is_any_int_dtype(data)
+    else:
+        assert not is_any_int_dtype(data)
+
+
 def test_is_signed_integer_dtype(data):
     pa_type = data.dtype.pyarrow_dtype
     if pa.types.is_signed_integer(pa_type):