Season the chicken breasts with salt and pepper on both sides and dredge them in flour. Shake off any excess.
In a large skillet, melt one tablespoon of butter along with the olive oil over medium-high heat and brown the chicken breasts for 4 minutes on each side. Transfer to a plate and keep warm.
In the same skillet, saute the minced garlic for 30 seconds over medium heat.
Deglaze the skillet by pouring in the white wine and scraping any bits and pieces stuck to the bottom of the skillet.
Pour in the chicken broth, red pepper flakes, and lemon juice, and simmer until reduced by half. Season with 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 bathe them in the creamy sauce. Serve with freshly chopped parsley on top.