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