diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index 689be864f3..f8d216c9e7 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -423,3 +423,5 @@ contributors:
 * Joshua Cannon: contributor
 
 * Giuseppe Valente: contributor
+
+* cdce8p: contributor
diff --git a/ChangeLog b/ChangeLog
index d0ee2fed91..d42012a3f0 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -19,7 +19,7 @@ Release date: TBA
 * Fix bug that lead to duplicate messages when using ``--jobs 2`` or more.
 
   Close #3584
- 
+
 * Adds option ``check-protected-access-in-special-methods`` in the ClassChecker to activate/deactivate
   ``protected-access`` message emission for single underscore prefixed attribute in special methods.
 
@@ -62,6 +62,8 @@ Release date: TBA
 
 * Fix minor documentation issues
 
+* Fix false-positive ``unsubscriptable-object`` message for ``typing.Union`` and ``typing.Optional``. Closes #3882
+
 What's New in Pylint 2.6.0?
 ===========================
 
diff --git a/doc/whatsnew/2.6.rst b/doc/whatsnew/2.6.rst
index 56c60a5b97..b0f720aac6 100644
--- a/doc/whatsnew/2.6.rst
+++ b/doc/whatsnew/2.6.rst
@@ -52,3 +52,5 @@ Other Changes
 * Fix vulnerable regular expressions in ``pyreverse``. The ambiguities of vulnerable regular expressions are removed, making the repaired regular expressions safer and faster matching.
 
 .. _the migration guide in isort documentation: https://timothycrosley.github.io/isort/docs/upgrade_guides/5.0.0/#known_standard_library
+
+* Fix false-positive ``unsubscriptable-object`` message for ``typing.Union`` and ``typing.Optional``. Closes #3882
diff --git a/pylint/checkers/utils.py b/pylint/checkers/utils.py
index 23836f9097..5e845c9681 100644
--- a/pylint/checkers/utils.py
+++ b/pylint/checkers/utils.py
@@ -1076,6 +1076,9 @@ def _supports_protocol(
             return True
         if protocol_callback(value):
             return True
+    if isinstance(value, astroid.FunctionDef):
+        if value.name in ("Optional", "Union"):
+            return True
 
     if (
         isinstance(value, _bases.Proxy)