Preheat the oven to 425 degrees. Cover a baking sheet with parchment paper and a wire rack if cooking with the skin-on. Mix together all of the spices. Brush the drumsticks with oil and then coat with spice mixture.
Place on the baking sheet, making sure they do not touch. Bake for about 40 minutes or until drumsticks are cooked through and have reached an internal temperature of 165 degrees. Flip the drumsticks once during cooking. Let rest before serving.