- Remove fillet from bottom of each chicken breast half; cut remaining piece crosswise into 5 equal strips.
- Cut each zucchini diagonally into 8 slices.
- Combine less sodium teriyaki sauce, vinegar, oil and oregano; pour over chicken and zucchini in large plastic food storage bag. Press air out of bag; close top securely. Refrigerate 1 hour, turning bag over occasionally.
- Thread chicken and zucchini alternately on skewers, leaving space between pieces.
- Place kabobs on grill 4 to 5 inches from hot coals. Cook 5 minutes on each side, or until chicken is no longer pink in center. (Or, broil kabobs on rack of broiler pan 4 minutes on each side, or until chicken is no longer pink in center.)