Pat the steaks dry with paper towels. Rub both sides generously with Cajun seasoning, salt, and pepper.
Heat vegetable oil in a heavy skillet (preferably cast iron) over medium-high heat. Sear the steaks for about 3–4 minutes per side for medium-rare, adjusting time for your desired doneness. Remove steaks from skillet and set aside to rest.
In the same skillet, reduce the heat to medium. Add butter and minced garlic, stirring until fragrant. Carefully add the bourbon (stand back, it may flame briefly), scraping up the browned bits from the pan.
Stir in brown sugar and Worcestershire sauce. Simmer for 2–3 minutes until slightly thickened.
Place the steaks back into the skillet, spooning the sauce over the top to coat well.
Transfer steaks to plates, drizzle with more sauce, and garnish with chopped parsley.