Season the chicken cutlets with salt and ground black pepper. Dredge each piece in flour, ensuring they are well-coated, and shake off any excess.
In a large skillet, heat olive oil over medium heat and add butter, allowing it to melt completely. Swirl the skillet to coat the bottom evenly.
Place the chicken cutlets in the skillet, ensuring they are not overcrowded (cook in batches if necessary). Cook each side for about 4-5 minutes, or until golden brown and thoroughly cooked. Once done, transfer the chicken to a plate, cover it, and set aside.
In the same skillet, sauté minced garlic for approximately one minute, or until fragrant. Pour in the chicken stock, deglazing the pan by scraping any browned bits from the bottom with a wooden spoon.
Lower the heat to medium-low and add the heavy cream and Parmesan cheese. Stir gently and let the sauce simmer for a couple of minutes. Season with chili flakes, oregano, and thyme.
Taste the sauce and adjust the seasoning with additional salt and pepper as needed. Incorporate the sun-dried tomatoes, and return the cooked chicken to the skillet, letting the sauce simmer and thicken for a few more minutes.
Garnish with freshly chopped basil leaves and serve hot over pasta or rice.