01 - Place the chicken breasts between two sheets of plastic wrap. Pound to an even 1/2-inch thickness using a meat mallet.
02 - Season both sides of the chicken with salt and pepper. Dredge lightly in flour, shaking off excess.
03 - In a large skillet over medium-high heat, heat olive oil and 2 tablespoons butter until sizzling.
04 - Add chicken and sauté 3 to 4 minutes per side until golden and just cooked through. Transfer to a plate and tent with foil.
05 - Add white wine to the same skillet, scraping up browned bits. Simmer 1 to 2 minutes until slightly reduced.
06 - Stir in chicken broth, lemon juice, and capers. Simmer 2 to 3 minutes until sauce thickens slightly.
07 - Return chicken to the skillet and spoon sauce over the top. Simmer 2 minutes to warm through. Remove from heat. Swirl in 1 tablespoon cold butter for richness. Sprinkle with parsley.
08 - Serve immediately, garnished with lemon slices and extra parsley if desired.