Season chicken with salt and pepper, then dredge in flour and shake off any excess.
In a large skillet, heat olive oil and butter over medium heat. Swirl pan to coat evenly.
Place the whole chicken breasts in the pan and cover with a lid. Cook for 8 minutes on each side or until golden brown and cooked through to 165 degrees Fahrenheit in the thickest part of the chicken breast.
Transfer chicken onto a place, cover and set aside.
Saute the garlic in the same pan for a minute or until fragrant. Add the chicken broth and deglaze pan, scraping any bites stuck to the bottom of the pan with a wooden spoon.
Turn the heat to medium-low, then add the heavy cream and parmesan cheese to the skillet. Bring the sauce to a simmer for about 2 minutes, then season with red pepper flakes, thyme and oregano.
Add the sun dried tomatoes to the skillet and put the chicken breast back in the sauce, spooning sauce onto the top of the chicken breasts.
Let the sauce simmer to thicken for 4-5 minutes.
Garnish with chopped fresh basil leaves and serve over warm pasta or rice.
Video
Notes
Place leftovers into an airtight container and store in the refrigerator for up to 3 days. To reheat, place leftover in a skillet and add a splash of heavy cream to help reconstitute the sauce.