Combine buttermilk, TABASCO® Sauce, and 1 teaspoon of the salt in a large bowl or large resealable plastic bag and mix well. Add the chicken and cover bowl or seal bag; refrigerate for 6 to 24 hours.
Combine flour, remaining 2 teaspoons salt, garlic powder, onion powder, and pepper in a shallow dish. Remove chicken pieces from marinade and allow excess buttermilk to drip off. Dredge chicken pieces in flour mixture and let chicken sit for 10 minutes.
Add about 1-inch of oil to a large, deep skillet. Attach a deep-fry thermometer and, over medium-high heat, bring oil to 350°F.
Fry chicken in batches of four, turning occasionally, until golden brown and cooked through, about 10 minutes per side. Transfer chicken to a wire rack set on a baking sheet.
Makes 4 servings.