Prep the chicken: Pat chicken breasts dry with paper towels so they sear properly. If they are very thick on one side, gently pound to an even thickness for faster, more even cooking.
Season: Season both sides with salt, pepper, Italian seasoning, and paprika. Press the seasoning in lightly so it sticks and doesn’t fall off during searing.
Heat the skillet: Place a large skillet over medium-high heat. Add olive oil and butter. Once the butter melts and begins to foam slightly, the pan is ready.
Sear the chicken (first side): Add chicken to the hot skillet in a single layer. Do not move it for 4–5 minutes. This contact time builds a golden crust and deep flavor for the sauce.
Sear the chicken (second side): Flip and cook another 4–5 minutes until browned. The chicken does not need to be fully cooked at this stage because it will finish in the sauce.
Rest briefly: Transfer chicken to a plate. Let it rest while you build the sauce. This keeps it juicy and prevents overcooking.
Sauté the garlic: Reduce heat to medium. Add minced garlic to the same skillet and stir constantly for about 30 seconds, just until fragrant. Avoid browning the garlic to prevent bitterness.
Deglaze: Pour in chicken broth and scrape the browned bits from the bottom of the pan with a wooden spoon. Simmer for 1–2 minutes to reduce slightly and concentrate flavor.
Add cream: Lower heat to medium-low and stir in heavy cream. Let it warm gently until it begins a light simmer. Do not boil hard, which can cause separation.
Melt the parmesan smoothly: Add parmesan a little at a time, stirring after each addition until fully melted. This makes the sauce silky instead of clumpy or grainy.
Season the sauce: Taste and adjust salt/pepper as needed. Add red pepper flakes if you want a gentle kick.
Finish cooking the chicken in the sauce: Return chicken (and any juices) to the skillet. Spoon sauce over the top and simmer 6–8 minutes, or until chicken reaches 165°F in the thickest part.
Thicken if needed: If your sauce seems thin, let it simmer uncovered 2–3 minutes longer. Sauce thickens as it reduces and as it cools slightly off the heat.
Finish and serve: Sprinkle parsley over the top. Serve hot over rice, pasta, mashed potatoes, or roasted vegetables. Spoon extra sauce over everything (you’ll want to).