Preheat your grill, about 10 minutes for gas and 5 minutes for coals. Clean the grate and lightly coat with vegetable oil.
Salt and pepper both sides of the chicken then place on the grill, skin side up for 4 minutes.
Coat the top side with the glaze then turn over and cook 4 minutes. Apply glaze to the second side.
Continue to turn and glaze the breasts until the internal temperature is around 150 degrees, (or more to your liking).
Place on a serving dish, coat with the reserved glaze and cover with foil 5 minutes.
Serve right away. Garnish with chopped parsley if desired.