Prep the chicken: If your cutlets aren’t thin, slice chicken breasts horizontally into 1/2-inch pieces and gently pound to even thickness. Pat dry.
Season both sides with salt and pepper.
Lightly dredge: Place flour in a shallow dish. Dredge each cutlet, shaking off excess. The goal is a whisper-thin coating to help browning and sauce cling.
Preheat the pan: Heat a large skillet over medium-high.
Add 1 tablespoon olive oil and 1 tablespoon butter. When the butter foams, it’s ready.
Sear in batches: Add cutlets in a single layer. Don’t crowd the pan.
Cook 2–3 minutes per side until golden and cooked through. Transfer to a plate and tent loosely with foil. Repeat with remaining chicken, adding a bit more oil if the pan looks dry.
Build flavor: Reduce heat to medium.
Add a small knob of butter if needed. Stir in minced garlic and cook 30–45 seconds until fragrant, not browned.
Deglaze: Pour in chicken broth (and a splash of white wine if using). Scrape up browned bits.
Simmer 2–3 minutes to reduce slightly.
Add lemon: Stir in lemon zest and juice. Taste and adjust—more lemon for brightness, more broth if too sharp.
Finish the sauce: Whisk in 1 tablespoon cold butter to give the sauce a silky texture. Add capers or a pinch of red pepper flakes if you like.
Return the chicken: Slide cutlets back into the pan, plus any resting juices.
Spoon sauce over. Simmer 1 minute to warm through.
Garnish and serve: Sprinkle with chopped parsley. Serve with extra lemon wedges.
Plate with rice, potatoes, or a crisp salad.