Preheat broiler and line a rimmed cookie sheet with foil.
Season drumsticks with salt and pepper and place on cookie sheet.
Broil 4 inches from heat for about 10 minutes per side.
Baste the chicken with bbq sauce and broil 5 more minutes. Transfer to a serving platter, allow to cool off slightly. Remove skin before consuming, Baste again lightly with sauce if desired.