You can thaw frozen chicken drumsticks in the microwave but we have found it's best to that them in warm water. It keeps the drumsticks a more even tempreture and your cooked drumsticks will have better results. 1. Place your frozen chicken in a ziplock bag. 2. Put warm water in a bowl. 3. submerge the drumsticks in the water. (You may need to place something heavy on the drumsticks) 4. Add some warm water to the bowl every 30 minutes or so. 5. It will take an hour or two to thaw the drumsticks.