1. Preheat oven broiler.
2. Combine all ingredients, except Parmesan cheese, in large bowl; toss to coat.
3. Transfer vegetables and chicken to broiler pan. Broil, stirring and turning vegetables once, 10 minutes or until chicken is done and vegetables are tender.* Sprinkle with parmesan cheese.
*Cook chicken to an internal temperature of 165°F as measured with a food thermometer.