Heat a lightly greased grill or grill pan to medium heat.
Remove the chicken from the marinade, letting the excess drip away. Season both sides with salt and pepper. Place the chicken on the grill, skin side down, and slowly grill until the skin becomes a crispy golden brown, about 15 minutes. Turn the chicken over, close the grill cover and continue grilling until the chicken is cooked through, another 30 minutes. The chicken is done when it feels firm to the touch and a meat thermometer inserted in the center reaches 170°F. Remove the chicken from the grill and let rest it 10 minutes before carving.