1. In a small pot, combine reduction ingredients and bring to a boil. Lower the flame and cook until reduced to 1/2 to 3/4 cup liquid, approximately 15 minutes. If it looks too thick, you can add a little water. Shut the flame and set aside.
2. Preheat oven to 350 degrees Fahrenheit. Heat oil in a frying pan.
3. Prepare two bowls, one with egg and another with flour. Dip drumsticks into egg, then coat with flour. Fry until golden. Chicken does not need to be cooked through since it will continue to cook in the oven.
4. Transfer fried drumsticks to a pan and pour reduction over chicken. Bake uncovered for 40 minutes.
If you want to prep this in advance, freeze the drumsticks after frying, and freeze the sauce in a separate container. Defrost completely before baking.