In medium bowl, stir together all ingredients for the marinade. Add the drumsticks and toss to coat. Cover and refrigerate for 15 minutes.
Preheat the broiler.
Line a broiler pan with aluminum foil and then set the drumsticks in it. Broil or roast at 425 degrees for 15-20 minutes to 180 degrees internal, turning the drumsticks occasionally and brushing them with marinade.
Serve with apple slices.
