diff --git a/doc/source/whatsnew/v1.0.0.rst b/doc/source/whatsnew/v1.0.0.rst
index 1253788d7ff27..faca744a8f92c 100644
--- a/doc/source/whatsnew/v1.0.0.rst
+++ b/doc/source/whatsnew/v1.0.0.rst
@@ -714,6 +714,7 @@ Datetimelike
 - Bug in :func:`pandas.to_datetime` failing for `deques` when using ``cache=True`` (the default) (:issue:`29403`)
 - Bug in :meth:`Series.item` with ``datetime64`` or ``timedelta64`` dtype, :meth:`DatetimeIndex.item`, and :meth:`TimedeltaIndex.item` returning an integer instead of a :class:`Timestamp` or :class:`Timedelta` (:issue:`30175`)
 - Bug in :class:`DatetimeIndex` addition when adding a non-optimized :class:`DateOffset` incorrectly dropping timezone information (:issue:`30336`)
+- Bug in :meth:`DataFrame.append` would remove the timezone-awareness of new data (:issue:`30238`)
 
 Timedelta
 ^^^^^^^^^
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 51330bfc55dc3..dfda1470413b7 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -6757,25 +6757,18 @@ def append(self, other, ignore_index=False, verify_integrity=False, sort=False):
                     " or if the Series has a name"
                 )
 
-            if other.name is None:
-                index = None
-            else:
-                # other must have the same index name as self, otherwise
-                # index name will be reset
-                index = Index([other.name], name=self.index.name)
-
+            index = Index([other.name], name=self.index.name)
             idx_diff = other.index.difference(self.columns)
             try:
                 combined_columns = self.columns.append(idx_diff)
             except TypeError:
                 combined_columns = self.columns.astype(object).append(idx_diff)
-            other = other.reindex(combined_columns, copy=False)
-            other = DataFrame(
-                other.values.reshape((1, len(other))),
-                index=index,
-                columns=combined_columns,
+            other = (
+                other.reindex(combined_columns, copy=False)
+                .to_frame()
+                .T.infer_objects()
+                .rename_axis(index.names, copy=False)
             )
-            other = other._convert(datetime=True, timedelta=True)
             if not self.columns.equals(combined_columns):
                 self = self.reindex(columns=combined_columns)
         elif isinstance(other, list):
diff --git a/pandas/tests/frame/test_combine_concat.py b/pandas/tests/frame/test_combine_concat.py
index e72de487abb2f..ebc4438366001 100644
--- a/pandas/tests/frame/test_combine_concat.py
+++ b/pandas/tests/frame/test_combine_concat.py
@@ -288,6 +288,17 @@ def test_append_dtypes(self):
         expected = DataFrame({"bar": Series([Timestamp("20130101"), 1])})
         tm.assert_frame_equal(result, expected)
 
+    @pytest.mark.parametrize(
+        "timestamp", ["2019-07-19 07:04:57+0100", "2019-07-19 07:04:57"]
+    )
+    def test_append_timestamps_aware_or_naive(self, tz_naive_fixture, timestamp):
+        # GH 30238
+        tz = tz_naive_fixture
+        df = pd.DataFrame([pd.Timestamp(timestamp, tz=tz)])
+        result = df.append(df.iloc[0]).iloc[-1]
+        expected = pd.Series(pd.Timestamp(timestamp, tz=tz), name=0)
+        tm.assert_series_equal(result, expected)
+
     def test_update(self):
         df = DataFrame(
             [[1.5, np.nan, 3.0], [1.5, np.nan, 3.0], [1.5, np.nan, 3], [1.5, np.nan, 3]]