In a large, deep skillet, heat 1 inch of oil to 350°. Set a rack over a baking sheet and line the rack with paper towels. Lift the chicken from the bowl, letting the excess batter drip back into the bowl. Fry the chicken in batches at 315°, turning once, until golden and an instant-read thermometer inserted in the thickest part registers 160°; about 18 minutes for wings and 20 minutes for thighs, breasts and drumsticks. Transfer the fried chicken to the rack and let stand for 5 minutes before serving.