Test that new_timezone can return the UTC singleton (gh-5318)

diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index 8f9ebdd..436cbea 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -5489,6 +5489,28 @@
 
                 self.assertEqual(dt1.astimezone(timezone.utc), dt_utc)
 
+    def test_timezones_offset_zero(self):
+        utc0, utc1, non_utc = _testcapi.get_timezones_offset_zero()
+
+        with self.subTest(testname="utc0"):
+            self.assertIs(utc0, timezone.utc)
+
+        with self.subTest(testname="utc1"):
+            self.assertIs(utc1, timezone.utc)
+
+        with self.subTest(testname="non_utc"):
+            self.assertIsNot(non_utc, timezone.utc)
+
+            non_utc_exp = timezone(timedelta(hours=0), "")
+
+            self.assertEqual(non_utc, non_utc_exp)
+
+            dt1 = datetime(2000, 2, 4, tzinfo=non_utc)
+            dt2 = datetime(2000, 2, 4, tzinfo=non_utc_exp)
+
+            self.assertEqual(dt1, dt2)
+            self.assertEqual(dt1.tzname(), dt2.tzname())
+
     def test_check_date(self):
         class DateSubclass(date):
             pass