Pat the salmon fillets dry with paper towels to ensure the skin crisps up.
Heat 1 tablespoon of olive oil in a non-stick or cast-iron skillet over medium-high heat.
Right before putting the salmon in the hot pan, season the skin side of the salmon with salt and pepper. This ensure the salt won't extract too much moisture from the fish prior to searing it.
When the pan is hot, add the salmon fillets, skin-side down. Press gently on the fillets with a spatula to ensure even contact with the pan. Cook for 4-5 minutes without moving the fish to allow the skin to become golden and crispy.
While the skin side is cooking, season the other side that is facing up with the remaining salt and pepper.
Flip the salmon and cook for another 2-3 minutes, or until the salmon reaches 145F or your desired level of doneness (it should flake easily with a fork).
Remove from the skillet and set aside.