Prepare the Salmon: Remove the salmon fillets from the refrigerator 30 minutes before cooking to bring them to room temperature. Season both sides evenly with salt and pepper to enhance the flavor.
Sear the Salmon: Heat the olive oil in a large non-stick skillet over medium-high heat. Once the oil is shimmering, place the salmon fillets in the pan with the curved, presentation side down. Cook for 3 minutes, allowing the surface to achieve a golden crust.
Flip and Add Butter: Carefully turn the salmon over and cook the opposite side for 1 minute. Then, add the butter to the pan, letting it melt and begin to foam.
Baste the Salmon: As the butter melts, stir in the finely minced garlic. Tilt the pan slightly so the butter pools to one side, then use a large spoon to continuously baste the salmon with the flavorful, bubbling butter for about 1 1/2 minutes. This step infuses the fish with rich, garlicky goodness.
Check and Rest the Salmon: Remove the skillet from the heat and check the internal temperature of the salmon. For medium-rare doneness, it should read 50°C/122°F. Transfer the salmon to a plate and allow it to rest for 3 minutes. During this time, the temperature will rise to 53°C/127°F, ensuring perfect juiciness.
Add Lemon Juice: Place the skillet back on the stove but keep the heat off to maintain the warmth of the butter. Stir in the lemon juice, adjusting the amount to suit your taste preferences.
Serve the Salmon: Plate the salmon fillets and drizzle the buttery sauce over them. Be mindful of the richness; a little goes a long way. Sprinkle with chopped parsley for a fresh, vibrant finish. Pair with sides like cauliflower mash and leafy greens dressed with French vinaigrette for a complete and satisfying meal.