Pat the salmon fillets dry with paper towels, then season generously with salt and pepper on both sides. Set aside.
Heat a skillet over medium heat and add olive oil. Once the oil shimmers and just begins to smoke, carefully place the salmon fillets skin-side down. Press gently to ensure contact with the pan.
Sear the salmon for about 4-5 minutes until the skin is crispy and golden. You’ll notice the color change and a delightful sizzle. Flip the fillets carefully using a spatula, and cook for another 2-3 minutes until the flesh is opaque and flakes easily.
Remove the cooked salmon from the skillet and place on a plate to rest briefly. Keep warm while you prepare the lemon butter sauce.
Add the minced garlic to the same skillet and cook for about 30 seconds until fragrant, with a gentle sizzle. Then, squeeze in the fresh lemon juice and add the lemon zest, stirring to loosen any browned bits from the bottom of the pan.
Pour in the butter and let it melt slowly, swirling the pan to create a glossy, fragrant lemon butter sauce. Cook for about 1 minute until slightly thickened and fragrant.
Return the salmon to the skillet, spooning the lemon butter sauce over the top. Let it sit for a minute so the flavors meld and the fish stays moist and flavorful.
Garnish with chopped herbs if desired, and serve immediately with a drizzle of the lemon butter sauce. The skin should be crispy, the flesh tender and flaky, with a vibrant, glossy lemon glaze.