Sauté chicken and garlic in hot oil in a large skillet until chicken is done. Add zucchini and onion, and sauté 2 to 3 minutes. Add olives and mushrooms, and sauté 1 minute.
Stir in tomato sauce and next 3 ingredients; cook, stirring occasionally, 3 minutes or until thoroughly heated. Serve over pasta; sprinkle with cheese.