diff --git a/pandas/tests/reshape/concat/test_append_common.py b/pandas/tests/reshape/concat/test_append_common.py
index 0a330fd12d76d..527ec43437469 100644
--- a/pandas/tests/reshape/concat/test_append_common.py
+++ b/pandas/tests/reshape/concat/test_append_common.py
@@ -70,11 +70,18 @@ def _check_expected_dtype(self, obj, label):
         else:
             raise ValueError
 
-    def test_dtypes(self, item):
+    @pytest.mark.parametrize("box", [Index, Series])
+    def test_dtypes(self, item, box):
         # to confirm test case covers intended dtypes
         typ, vals = item
-        self._check_expected_dtype(Index(vals), typ)
-        self._check_expected_dtype(Series(vals), typ)
+        obj = box(vals)
+        if isinstance(obj, Index):
+            assert obj.dtype == typ
+        elif isinstance(obj, Series):
+            if typ.startswith("period"):
+                assert obj.dtype == "Period[M]"
+            else:
+                assert obj.dtype == typ
 
     def test_concatlike_same_dtypes(self, item):
         # GH 13660
diff --git a/pandas/tests/reshape/concat/test_empty.py b/pandas/tests/reshape/concat/test_empty.py
index 82d2a8a2b1fd2..d78337131bb97 100644
--- a/pandas/tests/reshape/concat/test_empty.py
+++ b/pandas/tests/reshape/concat/test_empty.py
@@ -129,10 +129,16 @@ def test_concat_empty_series_dtypes_match_roundtrips(self, dtype):
         result = concat([Series(dtype=dtype), Series(dtype=dtype)])
         assert result.dtype == dtype
 
-    def test_concat_empty_series_dtypes_roundtrips(self):
+    @pytest.mark.parametrize("dtype", ["float64", "int8", "uint8", "m8[ns]", "M8[ns]"])
+    @pytest.mark.parametrize(
+        "dtype2",
+        ["float64", "int8", "uint8", "m8[ns]", "M8[ns]"],
+    )
+    def test_concat_empty_series_dtypes_roundtrips(self, dtype, dtype2):
 
         # round-tripping with self & like self
-        dtypes = map(np.dtype, ["float64", "int8", "uint8", "bool", "m8[ns]", "M8[ns]"])
+        if dtype == dtype2:
+            return
 
         def int_result_type(dtype, dtype2):
             typs = {dtype.kind, dtype2.kind}
@@ -163,14 +169,11 @@ def get_result_type(dtype, dtype2):
                 return result
             return "O"
 
-        for dtype in dtypes:
-            for dtype2 in dtypes:
-                if dtype == dtype2:
-                    continue
-
-                expected = get_result_type(dtype, dtype2)
-                result = concat([Series(dtype=dtype), Series(dtype=dtype2)]).dtype
-                assert result.kind == expected
+        dtype = np.dtype(dtype)
+        dtype2 = np.dtype(dtype2)
+        expected = get_result_type(dtype, dtype2)
+        result = concat([Series(dtype=dtype), Series(dtype=dtype2)]).dtype
+        assert result.kind == expected
 
     def test_concat_empty_series_dtypes_triple(self):
 
diff --git a/pandas/tests/reshape/merge/test_merge_ordered.py b/pandas/tests/reshape/merge/test_merge_ordered.py
index 4d3dc05571d1d..cdff4737a3078 100644
--- a/pandas/tests/reshape/merge/test_merge_ordered.py
+++ b/pandas/tests/reshape/merge/test_merge_ordered.py
@@ -76,24 +76,26 @@ def _constructor(self):
 
         assert isinstance(result, NotADataFrame)
 
-    def test_empty_sequence_concat(self):
+    @pytest.mark.parametrize(
+        "df_seq, pattern",
+        [
+            ((), "[Nn]o objects"),
+            ([], "[Nn]o objects"),
+            ({}, "[Nn]o objects"),
+            ([None], "objects.*None"),
+            ([None, None], "objects.*None"),
+        ],
+    )
+    def test_empty_sequence_concat(self, df_seq, pattern):
         # GH 9157
-        empty_pat = "[Nn]o objects"
-        none_pat = "objects.*None"
-        test_cases = [
-            ((), empty_pat),
-            ([], empty_pat),
-            ({}, empty_pat),
-            ([None], none_pat),
-            ([None, None], none_pat),
-        ]
-        for df_seq, pattern in test_cases:
-            with pytest.raises(ValueError, match=pattern):
-                pd.concat(df_seq)
-
-        pd.concat([DataFrame()])
-        pd.concat([None, DataFrame()])
-        pd.concat([DataFrame(), None])
+        with pytest.raises(ValueError, match=pattern):
+            pd.concat(df_seq)
+
+    @pytest.mark.parametrize(
+        "arg", [[DataFrame()], [None, DataFrame()], [DataFrame(), None]]
+    )
+    def test_empty_sequence_concat_ok(self, arg):
+        pd.concat(arg)
 
     def test_doc_example(self):
         left = DataFrame(