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. Add chicken breasts and cook for 5 to 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 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 to 4 minutes until slightly reduced.
05 - Return chicken and any accumulated juices to the skillet. Spoon sauce over each piece and simmer for 2 to 3 minutes.
06 - Garnish with freshly chopped parsley and serve immediately, spooning extra sauce over each portion.