Heat olive oil in a large skillet over medium-high heat.
Season salmon fillets with salt and pepper and transfer to the skillet, skin-side down. Cook for 3-4 minutes, without moving, then gently flip over and cook an additional 3-4 minutes, until nicely seared and almost cooked through.
Gently remove the skin, using tongs, and discard. Flip once more, back to the side the skin was on and cook for 2 minutes, allowing to sear this side as well. Remove from skillet and set aside.