In a deep heavy pot or high-sided skillet, heat the oil over medium-high until it begins to shimmer and reaches 375-degrees. Working in batches, fry the chicken wings, turning once when the coating is sealed and begins to brown, about 3 to 5 minutes. Then turn again to cook the pieces through, another 7 to 9 minutes. Place the cooked pieces on a baking sheet and put in the oven while you cook the remaining pieces. Check the chicken for doneness, the juices should run clear.