Pat the salmon fillets completely dry with paper towels and season both sides with salt and pepper.
Heat olive oil in a large non-stick skillet over medium-high heat until the oil is shimmering.
Place salmon fillets skin-side down in the pan; press down lightly with a spatula to ensure even contact.
Cook undisturbed for 5 minutes or until the skin is golden and crispy.
Flip the fillets and cook for another 3 to 4 minutes until the internal temperature reaches 145 degrees Fahrenheit.
Transfer salmon to a plate and reduce skillet heat to medium.
Add butter to the skillet; once melted, add minced garlic and sauté for 1 minute until fragrant.
Stir in the lemon juice and parsley, then remove from heat.
Spoon the garlic butter sauce over the salmon fillets and serve immediately.