Start by patting the salmon pieces dry with paper towels. This helps achieve a nice sear. Season both sides generously with salt and pepper.
In a large skillet, heat 1 tablespoon of olive oil over medium-high heat. Allow the oil to get hot but not smoking.
Carefully place the salmon pieces in the skillet, skin-side down if applicable. Cook for about 4-5 minutes, until the skin is crispy and the fish is cooked about halfway through.
Using a spatula, gently flip the salmon pieces over. Add 2 tablespoons of butter to the skillet, allowing it to melt and foam.
Once the butter has melted, add the minced garlic to the skillet. Sauté for about 30 seconds, until fragrant. Then, pour in the lemon juice.
Spoon the garlic butter over the salmon as it finishes cooking. Cook for another 3-4 minutes, or until the salmon is opaque and flakes easily with a fork.
Remove the skillet from heat. Transfer the salmon to a serving plate and drizzle with any remaining garlic butter from the skillet. Garnish with chopped fresh parsley for a pop of color.