[2D] CharacterController rotation

I've programmed a little game to test my unity skills. Now I've got a problem: I want to rotate my Player (a Capsule). So I've written a script, that rotates the mesh, when the player presses a key:

 float rotation = Input.GetAxis("Rotate") * Time.deltaTime * rotationSpeed;
 transform.Rotate(0, 0, -rotation);

This works, but the CharacterController, which checks for collisions, is not rotating with the mesh.

Is there any way to rotate the CharacterController with the mesh of the player?