Slice the 4 chicken breasts into strips lengthwise. Season them with salt and pepper. Heat a large skillet with 2 Tbsp olive oil. Sear the chicken on each side for about 3-4 minutes, or until it turns crispy golden brown. Transfer to a plate.
Add 4 minced garlic cloves and cook 30 seconds. Next add ½ cup chicken broth and 1 Tbsp all purpose flour. Slowly stir and let it thicken.
Add in 1 cup heavy cream, ½ cup sun dried tomatoes, 1 Tbsp sun dried tomato oil, 1 Tbsp tomato paste, ½ tsp dried oregano, ½ tsp crushed red pepper flakes, ½ tsp salt and ¼ tsp ground black pepper. Let this simmer on low heat for about 2-3 minutes, until it thickens.
Remove the skillet from heat and stir in 1 cup fresh chopped basil, and ½ cup freshly grated parmesan cheese. Add the cooked chicken pieces back to the pan and scoop the sauce over top of them. Transfer everything to plates to serve and enjoy.