diff --git a/rules-tests/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector/Fixture/skip_first_class_callable.php.inc b/rules-tests/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector/Fixture/skip_first_class_callable.php.inc
new file mode 100644
index 00000000..ddf4f569
--- /dev/null
+++ b/rules-tests/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector/Fixture/skip_first_class_callable.php.inc
@@ -0,0 +1,13 @@
+<?php
+
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\CallLike\DirectInstanceOverMockArgRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class SkipFirstClassCallable extends TestCase
+{
+    public function testThat()
+    {
+        AnyClass::staticRun(...);
+    }
+}
diff --git a/rules/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector.php b/rules/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector.php
index dd2e58f8..ec90e9d1 100644
--- a/rules/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector.php
+++ b/rules/CodeQuality/Rector/CallLike/DirectInstanceOverMockArgRector.php
@@ -101,10 +101,13 @@ public function refactor(Node $node): MethodCall|StaticCall|New_|ArrayItem|null
         $hasChanged = false;
 
         if ($node instanceof ArrayItem) {
-
             return $this->refactorArrayItem($node);
         }
 
+        if ($node->isFirstClassCallable()) {
+            return null;
+        }
+
         foreach ($node->getArgs() as $arg) {
             $firstArg = $this->matchCreateMockMethodCallArg($arg->value);
             if (! $firstArg instanceof Arg) {