Place chicken strips, mushrooms, bell pepper and zucchini in large nonmetal dish or resealable food storage plastic bag. Add salad dressing; stir or turn bag to coat. Cover dish or seal bag; refrigerate at least 2 hours to marinate, stirring or turning once.
Heat grill. Alternately thread chicken strips, mushrooms, bell pepper and zucchini onto eight 12 to 14-inch metal skewers, allowing 1/4-inch space between pieces for even cooking. Reserve marinade.
When ready to grill, place kabobs on gas grill or on charcoal grill 4 to 6 inches from medium coals. Cook 10 to 15 minutes or until chicken is no longer pink and vegetables are crisp-tender, turning once and brushing occasionally with reserved marinade. Discard any remaining marinade.