01 - Season both sides of the chicken breasts with salt and pepper. Lightly dust with flour, shaking off any excess.
02 - In a large skillet over medium-high heat, warm the olive oil and butter. Add the floured chicken breasts and sear until golden brown on both sides and cooked through, approximately 5-6 minutes per side. Remove chicken from the skillet and set aside on a plate, tenting loosely with foil.
03 - Reduce the skillet heat to medium. Add the minced garlic and sauté for 1 minute until fragrant.
04 - Pour in the heavy cream and chicken broth, stirring to deglaze the pan and incorporate any browned bits. Bring the mixture to a gentle simmer.
05 - Stir in the grated Parmesan cheese, Italian seasoning, and optional crushed red pepper flakes. Continue to cook, stirring occasionally, until the sauce has thickened, about 3-4 minutes.
06 - Return the seared chicken breasts to the skillet, spooning the thickened sauce over the top. Allow to simmer for an additional 2-3 minutes to ensure the chicken is heated through.
07 - Sprinkle the finished dish with chopped fresh parsley just before serving.