If needed, cut each wing at the joint to separate the drumette and wingette and discard or save the wing tips for stock.
Pour oil into a deep fryer or large heavy pot to a safe depth and heat to 375°F (190°C); use a thermometer to monitor temperature.
Working in batches, carefully add wings to the hot oil and deep-fry for 10 to 12 minutes, or until they reach an internal temperature of 165°F (74°C) and are golden and crisp; do not overcrowd the fryer.
Remove cooked wings with tongs and transfer to a wire rack to drain while you make the sauce.
In a small saucepan over medium-low heat, combine the margarine (or butter), Frank’s RedHot Sauce, white vinegar, and Worcestershire sauce; stir until the margarine is melted and the sauce is smooth and combined.
Place the hot wings in a large bowl, pour the sauce over them, sprinkle the Tony Chachere’s seasoning, and toss thoroughly to coat evenly.
Serve immediately while hot and saucy.