diff --git a/pandas/tests/series/methods/test_replace.py b/pandas/tests/series/methods/test_replace.py
index d2d564be88942..b619c9c9632e3 100644
--- a/pandas/tests/series/methods/test_replace.py
+++ b/pandas/tests/series/methods/test_replace.py
@@ -208,6 +208,15 @@ def test_replace_with_dict_with_bool_keys(self):
         expected = pd.Series(["yes", False, "yes"])
         tm.assert_series_equal(result, expected)
 
+    def test_replace_Int_with_na(self, any_nullable_int_dtype):
+        # GH 38267
+        result = pd.Series([0, None], dtype=any_nullable_int_dtype).replace(0, pd.NA)
+        expected = pd.Series([pd.NA, pd.NA], dtype=any_nullable_int_dtype)
+        tm.assert_series_equal(result, expected)
+        result = pd.Series([0, 1], dtype=any_nullable_int_dtype).replace(0, pd.NA)
+        result.replace(1, pd.NA, inplace=True)
+        tm.assert_series_equal(result, expected)
+
     def test_replace2(self):
         N = 100
         ser = pd.Series(np.fabs(np.random.randn(N)), tm.makeDateIndex(N), dtype=object)