Preheat the oven to 350 and cover a baking sheet with aluminum foil. Rub some peanut oil over the foil to grease it.
In a large mixing bowl, combine all the ingredients for the sauce (except for chicken). Whisk very well. Add chicken drumsticks and mix them in sauce, coating them all over. Let them sit in the bowl for 10-15 minutes.
Arrange chicken drumsticks on a prepared baking sheet and pour remaining sauce over drumsticks.
Bake for 20 minutes and then flip each drumsticks on the other side for even baking. Bake for another 20 minutes. (Bake time here will depend on the size of your drumstick. Make a small cut into the thickest part of the drumstick to make sure that it's cooked through.)