diff --git a/ChangeLog b/ChangeLog
index 4fe21c5f13..52c974a717 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -15,6 +15,9 @@ Release date: TBA
     * ``op`` (``str``) for ``AugAssign``, ``BinOp``, ``BoolOp``, ``UnaryOp``
     * ``names`` (``list[tuple[str, str | None]]``) for ``Import``
 
+* Support pyz imports
+
+  Closes PyCQA/pylint#3887
 
 What's New in astroid 2.7.4?
 ============================
diff --git a/astroid/manager.py b/astroid/manager.py
index 5575151e48..89ef2ac609 100644
--- a/astroid/manager.py
+++ b/astroid/manager.py
@@ -46,7 +46,7 @@
 )
 from astroid.transforms import TransformVisitor
 
-ZIP_IMPORT_EXTS = (".zip", ".egg", ".whl")
+ZIP_IMPORT_EXTS = (".zip", ".egg", ".whl", ".pyz", ".pyzw")
 
 
 def safe_repr(obj):
diff --git a/tests/unittest_manager.py b/tests/unittest_manager.py
index b81513b191..a810359554 100644
--- a/tests/unittest_manager.py
+++ b/tests/unittest_manager.py
@@ -220,6 +220,21 @@ def test_ast_from_module_name_zip(self):
                 os.path.sep.join(["data", os.path.normcase("MyPyPa-0.1.0-py2.5.zip")])
             )
 
+    def test_ast_from_module_name_pyz(self):
+        try:
+            linked_file_name = os.path.join(
+                resources.RESOURCE_PATH, "MyPyPa-0.1.0-py2.5.pyz"
+            )
+            os.symlink(
+                os.path.join(resources.RESOURCE_PATH, "MyPyPa-0.1.0-py2.5.zip"),
+                linked_file_name,
+            )
+
+            with self._restore_package_cache():
+                self._test_ast_from_zip(linked_file_name)
+        finally:
+            os.remove(linked_file_name)
+
     def test_zip_import_data(self):
         """check if zip_import_data works"""
         with self._restore_package_cache():