Combine first 6 ingredients in a large heavy-duty, zip-top plastic bag; add chicken. Seal bag and shake until chicken slices are well coated. Marinate chicken in refrigerator 30 minutes.
Remove chicken from marinade, reserving marinade. Place chicken on a rack in a broiler pan coated with cooking spray. Broil 5 1/2 inches from heat (with electric oven door partially opened) 7 minutes. Turn chicken; spoon reserved marinade over chicken, and top with feta cheese. Broil 7 minutes or to desired degree of doneness. Sprinkle with parsley.