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Put the chicken drumstick on the hottest part of the grill and cook them for 25 minutes, rotating them frequently with a pair of tongs to ensure even cooking. Step 5. Remove the chicken drumsticks from the grill and put them on a warm serving plate.
1 To ensure that the turkey stays juicy, you can baste it every 20 minutes with a turkey baster or spoon. Use the drippings as your basting liquid, or baste with extra melted butter.  Larger drumsticks may take a total of two hours to finish cooking.