01 - Season chicken breasts evenly with salt and pepper. Dredge each piece lightly in flour, shaking off any excess.
02 - Heat olive oil and 1 tablespoon butter in a large skillet over medium-high heat. Once the fat is shimmering, add the chicken breasts. Cook for 5–6 minutes per side until golden brown and cooked through. Transfer to a plate and tent loosely with foil.
03 - Reduce heat to medium. Add the remaining 2 tablespoons butter to the skillet and sauté minced garlic for 1 minute until fragrant.
04 - Stir in lemon zest, lemon juice, and chicken broth, scraping up any browned bits from the bottom of the pan. Simmer for 3–4 minutes to allow the flavors to meld.
05 - Return the chicken along with any accumulated juices to the skillet. Spoon the sauce over each piece and simmer for 2–3 minutes.
06 - Scatter fresh parsley over the top and serve immediately, spooning extra sauce over each portion.