for minutes at °F. How Long Does It Take for Drumsticks to Cook in the Oven? recipe makes The Best Baked Chicken Legs I have ever had in my whole life! Preheat the oven to degrees F. Lay the chicken legs out in a foil-lined baking. The key to figuring out how long to bake chicken leg quarters, thighs, Reason 2: It's extremely moist – because it often cooks on the bone.