Heat 1/2 cup of the oil in large skillet over medium heat until oil begins to shimmer. Add half of the drumsticks; cook 8 to 10 minutes or until chicken is golden brown, fork-tender and its juices run clear, turning frequently. Remove chicken from skillet; cover to keep warm. Pour off any remaining oil. Repeat with remaining 1/2 cup oil and remaining drumsticks. Pour off and discard most of drippings, reserving 2 tablespoons drippings in skillet.