how do you cook chicken quarters
1 Arrange chicken thighs/leg quarters skin side up in a shallow baking dish. 2  Sprinkle with garlic powder. 3  Drizzle about 1/2 teaspoon soy sauce on each piece. 4  Bake at 350 degrees Fahrenheit for 45 minutes to an hour, until the skin is crisp and brown and the meat is ready to fall off the bones.aked Chicken Thighs/Leg Quarters. 5 5. This was so easy and tasty, thank you! I used my Nu-wave oven so I covered mine for the first part of the cooking time then let it crisp up, served with sweet pepper rice and steamed broccoli.