diff --git a/src/Rules/Methods/StaticMethodCallCheck.php b/src/Rules/Methods/StaticMethodCallCheck.php
index aaabe3d1e7..b3da13562a 100644
--- a/src/Rules/Methods/StaticMethodCallCheck.php
+++ b/src/Rules/Methods/StaticMethodCallCheck.php
@@ -26,6 +26,7 @@
 use PHPStan\TrinaryLogic;
 use PHPStan\Type\ErrorType;
 use PHPStan\Type\Generic\GenericClassStringType;
+use PHPStan\Type\ObjectType;
 use PHPStan\Type\StaticType;
 use PHPStan\Type\StringType;
 use PHPStan\Type\Type;
@@ -200,6 +201,18 @@ public function check(
 			if (!$classType->isObject()->yes()) {
 				return [[], null];
 			}
+		} elseif ($classType->isClassString()->yes()) {
+			$nativeMethodTypes = [];
+			foreach ($classType->getClassStringObjectType()->getObjectClassReflections() as $classReflection) {
+				if ($classReflection->hasNativeMethod($methodName)) {
+					$nativeMethodTypes[] = new ObjectType($classReflection->getName());
+				}
+			}
+			if ($nativeMethodTypes !== []) {
+				$classType = TypeCombinator::union(...$nativeMethodTypes);
+			} else {
+				return [[], null];
+			}
 		} elseif ($classType->isString()->yes()) {
 			return [[], null];
 		}
diff --git a/src/Type/Php/MethodExistsTypeSpecifyingExtension.php b/src/Type/Php/MethodExistsTypeSpecifyingExtension.php
index 29621c1342..f66db635ea 100644
--- a/src/Type/Php/MethodExistsTypeSpecifyingExtension.php
+++ b/src/Type/Php/MethodExistsTypeSpecifyingExtension.php
@@ -59,10 +59,21 @@ public function specifyTypes(
 		$objectOrStringType = $scope->getType($args[0]->value);
 		if ($objectOrStringType->isString()->yes()) {
 			if ($objectOrStringType->isClassString()->yes()) {
-				foreach ($objectOrStringType->getClassStringObjectType()->getObjectClassReflections() as $classReflection) {
+				$allNative = true;
+				$classReflections = $objectOrStringType->getClassStringObjectType()->getObjectClassReflections();
+				foreach ($classReflections as $classReflection) {
 					if ($classReflection->hasMethod($methodNameType->getValue()) && !$classReflection->hasNativeMethod($methodNameType->getValue())) {
 						return $this->createFuncCallSpec($node, $context, $scope);
 					}
+					if ($classReflection->hasNativeMethod($methodNameType->getValue())) {
+						continue;
+					}
+
+					$allNative = false;
+				}
+
+				if ($allNative && $classReflections !== []) {
+					return $this->createFuncCallSpec($node, $context, $scope);
 				}
 
 				return $this->typeSpecifier->create(
diff --git a/tests/PHPStan/Rules/Methods/CallStaticMethodsRuleTest.php b/tests/PHPStan/Rules/Methods/CallStaticMethodsRuleTest.php
index 47a70c9d02..5b4255282a 100644
--- a/tests/PHPStan/Rules/Methods/CallStaticMethodsRuleTest.php
+++ b/tests/PHPStan/Rules/Methods/CallStaticMethodsRuleTest.php
@@ -1033,4 +1033,48 @@ public function testBug14596(): void
 		]);
 	}
 
+	public function testBug14684(): void
+	{
+		$this->checkThisOnly = false;
+		$this->checkExplicitMixed = false;
+		$this->analyse([__DIR__ . '/data/bug-14684.php'], [
+			[
+				'Call to private static method privateFoo() of class Bug14684\X.',
+				25,
+			],
+			[
+				'Call to protected static method protectedFoo() of class Bug14684\X.',
+				29,
+			],
+			[
+				'Call to private static method privateFoo() of class Bug14684\SubX.',
+				41,
+			],
+			[
+				'Call to protected static method protectedFoo() of class Bug14684\X.',
+				45,
+			],
+			[
+				'Call to private static method privateFoo() of class Bug14684\X.',
+				52,
+			],
+			[
+				'Call to protected static method protectedFoo() of class Bug14684\X.',
+				56,
+			],
+			[
+				'Call to private static method privateFoo() of class Bug14684\SubX.',
+				60,
+			],
+			[
+				'Call to private static method privateFoo() of class Bug14684\X.',
+				71,
+			],
+			[
+				'Call to protected static method protectedFoo() of class Bug14684\X.',
+				75,
+			],
+		]);
+	}
+
 }
diff --git a/tests/PHPStan/Rules/Methods/data/bug-14684.php b/tests/PHPStan/Rules/Methods/data/bug-14684.php
new file mode 100644
index 0000000000..720bd5ce6e
--- /dev/null
+++ b/tests/PHPStan/Rules/Methods/data/bug-14684.php
@@ -0,0 +1,81 @@
+<?php declare(strict_types = 1);
+
+namespace Bug14684;
+
+class X {
+	static public function publicFoo():void {}
+
+	final static private function privateFoo():void {}
+
+	static protected function protectedFoo():void {}
+}
+
+final class SubX extends X {
+	static private function privateFoo():void {}
+}
+
+/** @param class-string<X> $row */
+function testClassStringFinalMethod(string $row): void
+{
+	if (method_exists($row, 'publicFoo')) {
+		$row::publicFoo();
+	}
+
+	if (method_exists($row, 'privateFoo')) {
+		$row::privateFoo();
+	}
+
+	if (method_exists($row, 'protectedFoo')) {
+		$row::protectedFoo();
+	}
+}
+
+/** @param class-string<SubX> $row */
+function testClassStringFinalClass(string $row): void
+{
+	if (method_exists($row, 'publicFoo')) {
+		$row::publicFoo();
+	}
+
+	if (method_exists($row, 'privateFoo')) {
+		$row::privateFoo();
+	}
+
+	if (method_exists($row, 'protectedFoo')) {
+		$row::protectedFoo();
+	}
+}
+
+function testLiteralClassCall(): void
+{
+	if (method_exists(X::class, 'privateFoo')) {
+		X::privateFoo();
+	}
+
+	if (method_exists(X::class, 'protectedFoo')) {
+		X::protectedFoo();
+	}
+
+	if (method_exists(SubX::class, 'privateFoo')) {
+		SubX::privateFoo();
+	}
+}
+
+class Y {
+}
+
+/** @param class-string<X|Y> $row */
+function testClassStringUnion(string $row): void
+{
+	if (method_exists($row, 'privateFoo')) {
+		$row::privateFoo();
+	}
+
+	if (method_exists($row, 'protectedFoo')) {
+		$row::protectedFoo();
+	}
+
+	if (method_exists($row, 'publicFoo')) {
+		$row::publicFoo();
+	}
+}