Place the chicken breast on a cutting board and gently pound to an even thickness of about 1/4 inch. This helps every piece cook quickly and evenly.
Season both sides with salt, pepper, and paprika. Letting them rest a minute lets the spices cling to the surface.
Heat a large skillet over medium-high heat. Add olive oil and 1 tablespoon of butter. When the butter melts and sizzling begins, add the chicken cutlets in a single layer.
Cook for about 2–3 minutes per side, until a golden crust forms. The goal is a nice sear, not a pale finish. If your pan is crowded, work in batches.
Once the chicken is cooked through, push the cutlets to one side of the pan. Add the remaining 3 tablespoons of butter to the empty space and let it melt.
Add minced garlic to the butter and cook for 30 seconds, until fragrant. Be careful not to burn the garlic.
Tilt the pan and spoon the garlicky butter over the chicken. Drizzle with lemon juice and cook for another 30 seconds to meld the flavors.
Taste and adjust salt if needed. Remove from heat and sprinkle with chopped parsley.
Serve immediately with a simple side like steamed vegetables, mashed potatoes, or a light salad.