Prepare your chicken breasts by seasoning them with ½ ts salt and pepper on both sides, and dredging them in flour. Shake off any excess.
Heat a large skillet over medium-high heat and melt one tablespoon of butter with the olive oil. Brown the chicken breasts for 4 minutes on each side. Transfer to a plate and keep warm by covering it with foil.
Add the minced garlic to the same skillet and saute for 30 seconds over medium heat.
Pour in the white wine and deglaze the skillet, scraping any bits and pieces stuck to the bottom.
Mix in the chicken broth, red pepper flakes, and lemon juice. Simmer until reduced by half. Season with the remaining ½ tsp salt and pepper to taste.
Reduce the heat to low and stir in the lemon zest. Add the remaining butter and gently swirl it around the skillet to make a sauce. Do not boil this sauce.
Return the chicken breasts to the skillet and cover them with the sauce. Serve with freshly chopped parsley on top once the chicken is plated.