Instructions. Place chicken breasts between 2 pieces of wax paper and, using a meat mallet, pound to an even ½-inch thickness. Mix all ingredients except chicken together in a 1 gallon zip-lock bag. Add chicken breasts and massage marinade into meat until evenly coated. Clean grill and preheat to high. With a little know-how, however, you no longer have to stand for this injustice. The key to juicy grilled chicken breasts is to brine them first, then cook them over a.