01 - Pat the chicken breasts dry with paper towels. Season both sides generously with salt and black pepper. Dredge each breast lightly in flour, shaking off excess to ensure even coating.
02 - Heat olive oil and butter in a large skillet over medium-high heat until butter foams. Sear chicken breasts for 4–5 minutes per side until golden brown and internal temperature reaches 165°F. Transfer to plate and cover loosely with foil.
03 - Reduce heat to medium. Add minced garlic to the same skillet and sauté for 1 minute until fragrant, being careful not to burn.
04 - Pour in chicken broth, using a wooden spoon to scrape up any browned bits from the bottom. Let simmer for 2 minutes to reduce slightly.
05 - Stir in heavy cream, lemon zest, and lemon juice. Bring to gentle simmer, then gradually whisk in Parmesan cheese until fully melted and sauce thickens slightly, about 2–3 minutes.
06 - Return chicken to skillet, spooning sauce generously over each piece. Simmer for 3–4 minutes until heated through. Garnish with fresh parsley and red pepper flakes if desired. Serve immediately.