Pour marinade into 1-gallon resealable plastic bag; add chicken and seal. Turn bag to coat chicken.
Marinate at room temperature 30 minutes or in refrigerator up to 2 days, turning occasionally.
Prepare barbecue (medium-high heat).
Place chicken, with some marinade still clinging, on grill rack; grill chicken until cooked through and golden brown on all sides, turning frequently, about 30 minutes.