In a bowl, mix together the flour, salt, and pepper. Coat each chicken breast piece evenly on both sides with the flour mixture.
In a large pan, heat the olive oil and butter over medium heat. Fry the chicken breasts on each side for about 5 minutes, or until golden brown. Once cooked, transfer the chicken to a plate and set aside.
In the same pan, add the minced garlic and chili flakes. Stir and cook for about 2 minutes until fragrant. Pour in the broth and add the dried thyme and dried basil. Bring the mixture to a boil.
Pour in the heavy cream and stir in the grated Parmesan. Bring the sauce to a gentle boil, stirring continuously for a couple of minutes until the sauce thickens slightly.
Add the chicken fillets back to the pan, along with the chopped sun-dried tomatoes. Simmer the chicken in the sauce for about 15 minutes, turning the fillets every 5 minutes. If the sauce becomes too thick, add a bit more broth or water to reach the desired consistency.
Notes
For more even cooking, consider pounding the chicken breasts to an even thickness before cutting them in half. This ensures they cook at the same rate and stay tender.
When frying the chicken, avoid overcrowding the pan. Fry in batches if necessary to ensure each piece gets a nice golden-brown crust.
After cooking, let the chicken rest in the sauce for a few minutes off the heat. This allows the flavors to meld and the chicken to absorb more of the sauce.