01 - Place chicken cutlets between plastic wrap sheets and gently pound until evenly 1/2 inch thick.
02 - Mix 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. Cook cutlets 2 to 3 minutes per side until golden and cooked through. Remove and keep warm.
04 - Reduce heat to medium. Add white wine to skillet, scraping up browned bits. Simmer 1 to 2 minutes until reduced by half.
05 - Add chicken broth, lemon juice, and capers. Simmer 2 to 3 minutes until sauce thickens slightly.
06 - Return chicken to skillet, spoon sauce over. Cook 1 to 2 minutes until heated through.
07 - Stir in remaining tablespoon of butter for a silky sauce.
08 - Sprinkle with chopped parsley and serve immediately.