Slice each chicken breast horizontally to create four even cutlets. Season both sides generously with salt and pepper, then dredge lightly in flour, shaking off any excess.
Heat olive oil and 1 tablespoon of butter in a large skillet over medium-high heat. Once the butter begins to foam, add the chicken cutlets and sear for 4–5 minutes per side until golden brown and cooked through. Transfer the chicken to a plate and set aside.
Reduce the heat to medium (or medium-low if using cast iron). Add the remaining butter to the pan, letting it melt completely before adding the peeled garlic cloves. Sauté the garlic, stirring frequently, for 3–4 minutes until the cloves become lightly browned and fragrant without burning.
Pour in the chicken broth, lemon juice, and garlic powder, scraping up any browned bits stuck to the bottom of the pan. Allow the mixture to simmer for about 4 minutes, reducing slightly and intensifying in flavor.
Lower the heat and stir in the heavy cream, combining it gently with the garlic-infused sauce. Return the chicken cutlets to the pan, nestling them into the sauce. Let everything simmer together for 5 more minutes, until the sauce thickens into a luscious, creamy consistency and the chicken is tender and thoroughly coated.
Sprinkle with freshly chopped parsley just before serving for a vibrant finishing touch. Serve warm with rice, mashed potatoes, or steamed vegetables to soak up every drop of the creamy garlic sauce.