Pat the chicken drumsticks dry with paper towels. Place the drumsticks and marinade ingredients in a large ziplock bag and shake to coat chicken pieces. Set the chicken pieces aside to marinade for half an hour at room temperature or up to overnight in the refrigerator.

Preheat oven to 400F. Remove chicken pieces from the plastic bag, place on an oven safe cooling rack, and allow the excess marinade to drip for a few minutes. Place the cooling rack with drumsticks on a baking sheet and bake for about about 35-40 minutes.