COOK noodles as directed on package; drain.
MEANWHILE, mix dressing and lemon peel.
HEAT 1/4 cup of the dressing mixture in large nonstick skillet on medium heat. Add chicken. Reduce heat to medium-low; cook 15 minutes or until chicken is cooked through, turning occasionally and adding an extra tablespoon of the dressing mixture, if necessary. Remove chicken from skillet; keep warm.
ADD remaining dressing mixture and vegetables to skillet; cook on medium heat 5 minutes or until crisp-tender, stirring occasionally. Serve vegetable mixture and chicken over noodles. Sprinkle with cheese.