diff --git a/pandas/_typing.py b/pandas/_typing.py
index f5bf0dcd3e220..a2bb168c1e2da 100644
--- a/pandas/_typing.py
+++ b/pandas/_typing.py
@@ -1,5 +1,5 @@
 from pathlib import Path
-from typing import IO, AnyStr, Type, Union
+from typing import IO, AnyStr, TypeVar, Union
 
 import numpy as np
 
@@ -11,12 +11,14 @@
 from pandas.core.dtypes.generic import (
     ABCExtensionArray, ABCIndexClass, ABCSeries, ABCSparseSeries)
 
-AnyArrayLike = Union[ABCExtensionArray,
-                     ABCIndexClass,
-                     ABCSeries,
-                     ABCSparseSeries,
-                     np.ndarray]
-ArrayLike = Union[ABCExtensionArray, np.ndarray]
-DatetimeLikeScalar = Type[Union[Period, Timestamp, Timedelta]]
+AnyArrayLike = TypeVar('AnyArrayLike',
+                       ABCExtensionArray,
+                       ABCIndexClass,
+                       ABCSeries,
+                       ABCSparseSeries,
+                       np.ndarray)
+ArrayLike = TypeVar('ArrayLike', ABCExtensionArray, np.ndarray)
+DatetimeLikeScalar = TypeVar('DatetimeLikeScalar', Period, Timestamp,
+                             Timedelta)
 Dtype = Union[str, np.dtype, ExtensionDtype]
 FilePathOrBuffer = Union[str, Path, IO[AnyStr]]
diff --git a/pandas/core/arrays/datetimelike.py b/pandas/core/arrays/datetimelike.py
index c32f8642dc2ed..c99c09cdac96c 100644
--- a/pandas/core/arrays/datetimelike.py
+++ b/pandas/core/arrays/datetimelike.py
@@ -1,6 +1,6 @@
 from datetime import datetime, timedelta
 import operator
-from typing import Any, Sequence, Union, cast
+from typing import Any, Sequence, Type, Union, cast
 import warnings
 
 import numpy as np
@@ -58,7 +58,7 @@ def _get_attributes_dict(self):
         return {k: getattr(self, k, None) for k in self._attributes}
 
     @property
-    def _scalar_type(self) -> DatetimeLikeScalar:
+    def _scalar_type(self) -> Type[DatetimeLikeScalar]:
         """The scalar associated with this datelike
 
         * PeriodArray : Period