Pat the chicken breasts dry with paper towels to remove excess moisture, which helps achieve a good sear.
Generously season both sides of the chicken with salt, pepper, and smoked paprika, pressing the spices slightly into the meat.
Heat the skillet over medium-high heat until shimmering, about 2-3 minutes. Add the oil and let it heat until it just starts to smoke lightly.
Gently lay the chicken breasts into the hot skillet, placing them smooth side down if they have an even surface, and listen for a sizzle. Let them sear undisturbed for 5-6 minutes until the underside is golden brown and releases easily.
Flip the chicken breasts using tongs and continue cooking for another 5-7 minutes, or until the internal temperature reaches 74°C (165°F) and the juices run clear.
Check the temperature with an instant-read thermometer to ensure doneness; the meat should feel firm but still juicy.
Remove the chicken from the skillet and let it rest for 3 minutes on a plate, allowing the juices to redistribute.
Squeeze fresh lemon juice over the rested chicken to brighten the flavor, and optionally, melt a tablespoon of butter over the top for extra richness and shine.
Slice the chicken if desired, and serve immediately, enjoying the tender interior with a flavorful, caramelized crust.