01 - Pound the chicken breasts to an even 1/2-inch thickness using a meat mallet. Season both sides evenly with salt and pepper.
02 - Dredge each chicken piece lightly in flour, shaking off any excess coating to ensure even browning.
03 - Heat olive oil and 1 tablespoon butter in a large skillet over medium-high heat. Once hot, add chicken and cook 3 to 4 minutes per side until golden brown and cooked through. Transfer to a plate and cover loosely with foil.
04 - Reduce heat to medium. Pour wine into the skillet, scraping up browned bits from the bottom. Simmer for 2 minutes until slightly reduced.
05 - Stir in chicken broth, lemon juice, and capers. Simmer for 3 minutes until the sauce reduces by approximately half.
06 - Return the chicken to the pan and simmer for 2 minutes, spooning sauce over each piece to coat thoroughly.
07 - Remove from heat. Stir in the remaining 1 tablespoon of butter and chopped fresh parsley until combined.
08 - Plate immediately and garnish with lemon slices and additional fresh parsley if desired.