Directions. 1  Put some olive oil in the bottom of a 9X13 pan (just enough to put the drumsticks on). 2  Add drumsticks (space enough apart so they aren't touching each other). 3  Sprinkle generously with pepper and garlic powder. 4  Bake at 375 for half an hour. 5  Bake another half an hour (or until cooked til 160 degrees)). Put some olive oil in the bottom of a 9X13 pan (just enough to put the drumsticks on). 2  Add drumsticks (space enough apart so they aren't touching each other). 3  Sprinkle generously with pepper and garlic powder. 4  Sprinkle lightly with salt. 5  Bake at 375 for half an hour.