Preheat the oven to 375 degrees F.
Remove the chicken breasts from their packaging and pat dry with a paper towel. *If the chicken is thick, pound it to flatten using a meat mallet. Add the all-purpose flour, table salt, and black pepper to a shallow dish. Mix to combine.
Dredge the chicken breast in the flour mixture.
Place a large oven-safe cast iron pan (or frying pan) over medium-high heat. When the pan is hot, add the olive oil and then the floured chicken breasts. t
Brown the chicken breasts for 3-4 minutes. Then, turn it over and brown the other side for 3-4 minutes. Remove the chicken from the pan and set aside while you make the sauce.
Add one tablespoon of butter to the pan. When the butter has melted, add the chopped onions, stir to coat the onions with butter, and cook for 3-4 minutes.
Add the minced garlic to the pan and cook for about 1 minute until the garlic becomes fragrant.
Add the chicken broth to the pan and bring to a boil.
Add the heavy cream to the pan and stir to combine. Bring the sauce to a light boil and lower the heat to medium.
Add the grated Parmesan cheese, stirring to combine.
Add the sliced sun-dried tomatoes, red pepper flakes, fresh oregano, and fresh basil to the sauce. Stir to combine.
Place the chicken back into the pan. Turn to caot the pieces with the sauce.
Place the skillet on the center rack of the preheated oven and bake for 15-20 minutes or until the chicken reaches an internal temperature of 165 degrees.
Garnish with fresh chopped basil and serve.