01 - Place chicken cutlets between two sheets of plastic wrap and gently pound to an even thickness of 1/2 inch.
02 - Combine flour, salt, and pepper in a shallow dish. Dredge each cutlet in the mixture, shaking off excess flour.
03 - Heat olive oil and 1 tablespoon butter in a large skillet over medium-high heat. Sauté cutlets 2 to 3 minutes per side until golden and cooked through. Remove and set aside.
04 - Reduce heat to medium and add white wine to skillet, scraping browned bits. Simmer 1 to 2 minutes until reduced by half.
05 - Stir in chicken broth, lemon juice, and capers. Simmer for 2 to 3 minutes to thicken the sauce slightly.
06 - Return chicken to skillet, spoon sauce over cutlets, and cook 1 to 2 minutes until heated through.
07 - Stir in remaining 1 tablespoon butter for a smooth finish, if desired.
08 - Sprinkle chopped parsley over chicken and serve immediately.