To cook chicken: In a large shallow plate, add flour, salt and pepper. Dredge chicken cutlets in it on both sides, shaking off the excess. Do not discard the remaining flour. I usually do this as skillet is preheating.
Preheat large skillet on medium-high heat, add oil and butter and spread to coat. Add half the chicken and pan fry for 3-4 minutes or until browned on each side. Transfer to a plate and repeat with remaining cutlets.
To make sauce with chicken: Add oil and garlic, saute for 30 seconds, stirring constantly. Add Italian seasoning and red pepper flakes, stirring for 30 seconds.
Add any remaining flour from the plate, broth, heavy cream, Parmesan cheese and sun dried tomatoes. Stir and bring to a boil.
Add previously cooked chicken, spoon sauce on top and simmer on low heat for 7 minutes, spooning more sauce on top 1-2 more times. Chicken is ready when sauce has thickened a bit and inserted in the center thermometer registers 165 F.
Turn off heat and garnish with basil. Serve over pasta, rice or mashed potatoes.
Notes
Store: Refrigerate leftovers in an airtight container for up to 3-4 days.
Freeze: Freeze in an airtight container for up to 3 months. Thaw in the fridge overnight.
Reheat: Reheat in a microwave for a few minutes or simmer in a skillet with a splash of broth while covered.
Sun dried tomatoes: If using packed in oil, drain well. If using dried ones, soak in a bowl with hot water for 5 minutes, squeeze well and slice thinly.