Remove and discard skin from drumsticks (optional). Place chicken in a plastic bag set in a shallow dish. Pour hot pepper sauce over chicken. Seal bag. Marinate in the refrigerator for 1 to 24 hours, turning bag occasionally.
Drain chicken, discarding marinade. In another plastic bag combine flour, cornmeal, and salt. Add chicken drumsticks, a few at a time, shaking to coat.
In a 12-inch skillet heat 1/2 inch of oil over medium heat until a bread cube dropped into the oil sizzles. Carefully add chicken to the skillet. Cook, uncovered, over medium heat for 25 to 30 minutes, turning occasionally to brown evenly, until chicken is tender and no longer pink. Drain on paper towels. Transfer chicken to a serving platter. Makes 8 drumsticks.