Preheat oven to 375°F/190℃.
Place chicken thighs on a large plate and season both sides generously with salt, pepper, and Creole seasoning. Set aside.
Heat a large oven-safe skillet over medium-high, then add olive oil. Once the oil has heated for 1-2 minutes, add the seasoned chicken thighs skin-side down, and sear until golden, about 4 to 5 minutes. Flip chicken and sear other side for another 4-5 minutes. Transfer chicken to a plate and set aside.
Turn down the heat to medium and, in the same skillet, melt the butter, then add garlic, thyme, oregano, and red pepper flakes. Cook until fragrant, for about 1 minute, then pour in white wine, broth, heavy cream, sun-dried tomatoes, and Parmesan. Stir to combine until the cheese melts.
Simmer for 2-3 minutes, season with salt and pepper to taste, then return chicken to skillet, skin-side up.
Transfer the skillet to the oven and bake until chicken is cooked through (juices run clear when chicken is pierced with a knife), 17-20 minutes.
Garnish with basil and serve over pasta, rice, or steamed vegetables.