Place the chicken drumsticks in a large bowl or ziploc bag. Add in all of the remaining ingredients and toss the drumsticks to ensure that they are all well coated in the herbs. Transfer to the fridge to marinate for a minimum of 1 hour but ideally overnight.
Preheat the oven to 425 degrees Fahrenheit and line a baking sheet with aluminum foil or parchment paper.
Place the drumsticks on the baking sheet ensuring that they do not touch. Transfer the chicken to the oven and bake for 40 minutes, flipping half way through baking. The drumsticks are done cooking when they have an internal temperature of 175ºF.