01 - Pat the chicken breasts dry with paper towels. Season both sides generously with salt and black pepper, then dredge each piece lightly in flour, shaking off any excess coating.
02 - Heat olive oil and butter in a large skillet over medium-high heat until butter foams. Add chicken breasts and sear for 4–5 minutes per side until golden brown and cooked through. Transfer to a plate and cover loosely with aluminum 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 it.
04 - Pour in chicken broth, using a wooden spoon to scrape up any browned bits from the bottom of the skillet. Let the mixture simmer for 2 minutes to reduce slightly.
05 - Stir in heavy cream, lemon zest, and lemon juice. Bring to a gentle simmer, then gradually whisk in the Parmesan cheese until fully melted and the sauce has thickened slightly, about 2–3 minutes.
06 - Return the chicken breasts to the skillet, spooning the sauce generously over each piece. Simmer for 3–4 minutes until the chicken is heated through. Sprinkle with chopped parsley and crushed red pepper flakes before serving.