Prep the Chicken Cutlets
Slice each chicken breast in half horizontally to create 4 thin cutlets.
Place between pieces of plastic wrap and pound gently to about ½‑inch (1.25 cm) even thickness.
Pat dry with paper towels.
Season and Dredge
In a shallow dish, combine flour, lemon zest, salt, and pepper.
Dredge each cutlet in the flour mixture, shaking off excess, and set aside on a plate.
Pan‑Sear the Chicken
Heat 2 tbsp olive oil and 2 tbsp butter in a large skillet over medium‑high heat.
When hot and foaming, add chicken in a single layer (work in batches to avoid crowding).
Cook 3–4 minutes per side until golden brown and just cooked through (internal temp 165°F / 74°C).
Transfer chicken to a plate and tent loosely with foil.
Build the Lemon Caper Sauce
Reduce heat to medium. If the pan is very dry, add a small drizzle of olive oil.
Add garlic and sauté 30–60 seconds until fragrant (do not burn).
Pour in white wine, scraping up browned bits from the bottom of the skillet. Let it simmer 1–2 minutes to reduce slightly.
Stir in chicken broth, lemon juice, and capers; bring to a gentle simmer and cook 3–4 minutes until slightly reduced.
Whisk in 2–3 tbsp butter until melted for a glossy, slightly thickened sauce. Taste and adjust salt and pepper.
Finish the Dish
Return chicken cutlets (and any juices) to the skillet, nestling them into the sauce.
Simmer 2–3 minutes, spooning sauce over the chicken until heated through and coated.
Turn off heat and sprinkle with chopped parsley.
Serve
Serve immediately with extra sauce spooned over the top.
Great over angel hair pasta, mashed or roasted potatoes, or with sautéed spinach and crusty bread.