01 - Place 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 chicken generously with salt and pepper. Dredge lightly in flour, shaking off excess coating.
03 - In a large skillet over medium-high heat, heat olive oil and 2 tablespoons butter until sizzling and fragrant.
04 - Add chicken to the hot skillet. Sauté 3–4 minutes per side until golden brown and cooked through. Transfer to a plate and tent with foil to keep warm.
05 - Add white wine to the same skillet, scraping up browned bits from the bottom with a wooden spoon. Simmer 1–2 minutes until slightly reduced.
06 - Stir in chicken broth, lemon juice, and capers. Simmer 2–3 minutes until sauce thickens slightly and flavors meld.
07 - Return chicken to the skillet and spoon sauce over the top. Simmer 2 minutes to warm through. Remove from heat and swirl in 1 tablespoon cold butter for a glossy finish.
08 - Sprinkle with fresh parsley. Serve immediately, garnished with lemon slices and additional parsley if desired.