When you’re ready to cook, preheat oven to 400°F degrees.
Remove chicken and discard brine. Pat the chicken very dry with paper towels.
Prepare the dredge. In a one-gallon zip top bag, mix together the flour, salt, pepper and garlic.
Add the chicken pieces one at a time, shaking to coat. Shake to remove excess flour and set aside. Repeat with each leg quarter. Discard remaining flour dredge.
Put the butter and olive oil in a roasting pan that’s large enough to hold all the chicken without crowding. Place the pan in the hot oven to melt the butter and preheat.
When it’s good and hot, place the chicken, skin side down, into the hot pan. Oven fry until beautifully golden brown, about 40 minutes.
Use a spatula to scrape them off the pan (so the skin doesn’t stick) and flip them over to finish cooking the other side, about 10 minutes. Because leg quarter size varies greatly you’ll need to test for doneness with a meat thermometer looking to read 165°. Let the chicken rest for 10 minutes before devouring.