Place chicken breasts in plastic bag one at a time and pound gently with smooth side of meat mallet or edge of plate until chicken breasts are uniformly thick, about ½ inch. Place chicken in a gallon zip bag or large mixing bowl that can be covered.
Mix together the marinade ingredients.
Pour over chicken and cover tightly. Marinade in the refrigerator for 2-8 hours.
To cook: Pour off marinade. Using medium to medium low heat on grill, allow chicken to cook, turning once, till juices run clear when cut with a knife, about 20 minutes.
Notes
This marinade is an excellent way to marinade turkey breast cutlets too. (No pounding necessary.)