Place chicken between 2 large sheets of plastic wrap. Using meat pounder, lightly pound chicken to 1/4-inch thickness. Sprinkle chicken with salt and pepper. Place flour in shallow bowl. Dip chicken into flour to coat; shake off excess.

Heat 1 tablespoon oil in each a heavy large skillet. Add 2 chicken breasts to the skillet and cook until golden and cooked through, about 3 minutes per side. Transfer chicken to platter; tent with foil to keep warm.  Repeat with another tablespoon of oil and 2 chicken breasts.

Bring wine, lemon juice and broth to boil in the skillet over medium-high heat. Whisk in the rest of the flour and boil until sauce thickens slightly, about 2 minutes. Stir in capers, and parsley. Season sauce to taste with salt and pepper. Pour sauce over chicken and serve.