Begin by gently pounding the chicken breasts between two pieces of plastic wrap until they are about 1/2 inch thick. Season both sides with salt and pepper.
Dredge each chicken breast in flour, shaking off the excess.
In a large skillet, heat olive oil and 2 tablespoons of butter over medium heat until hot.
Add the coated chicken breasts in batches, cooking for about 4-5 minutes on each side or until golden brown and cooked through. Remove cooked chicken and set aside on a plate.
In the same skillet, add remaining butter and minced garlic, sauté for about 30 seconds until fragrant.
Pour in the lemon juice and chicken broth, scraping up any browned bits from the skillet with a wooden spoon.
Stir in the capers, and let the sauce simmer for about 3-5 minutes until slightly reduced.
Return the cooked chicken breasts to the pan, spooning the sauce over the top and allowing them to warm through for 1-2 minutes.
Remove from heat, garnish with chopped parsley, and serve.
Notes
Serve with lemon butter pasta or a fresh green salad.