Season the chicken cutlets with salt and black pepper on both sides. Lightly dredge in flour and shake off any excess.
Heat olive oil and butter in a large skillet over medium heat. Cook the chicken in batches for 4–5 minutes per side until golden and fully cooked. Remove and set aside.
In the same pan, add minced garlic and sauté for about 1 minute until fragrant.
Pour in the chicken broth, scraping up the browned bits from the bottom of the pan.
Lower the heat and stir in the heavy cream and Parmesan cheese. Simmer gently until the sauce thickens.
Season with chili flakes, oregano, and thyme. Add the sun-dried tomatoes.
Return the chicken to the pan and simmer for a few minutes so it absorbs the sauce.
Finish with chopped fresh basil and serve hot over pasta or rice.