Pat the salmon dry on all sides with paper towels.
Season liberally with salt and pepper.
Heat a pan over medium-high heat.
Add the oil.
Once the oil is shimmering, add the salmon skin-side down and cook for 3 to 4 minutes, until the skin is lightly browned, crisp, and lifts from the pan easily.
Flip the salmon. Cook on the remaining side for 3 to 4 minutes, until the interior temperature reads 125 degrees Fahrenheit for medium-rare. For medium, continue cooking for another minute, or until the internal temperature reads 145 degrees Fahrenheit.
Taste for seasoning, adjust if needed, and serve.