Pat the salmon dry with paper towels
Season both sides with salt and pepper
Heat a skillet over medium to medium-high heat
Add a small amount of oil to the pan
Place the salmon skin-side down if it has skin
Press gently for a few seconds to keep it flat
Cook without moving it for 4 to 6 minutes
Flip the salmon carefully
Cook the other side for 2 to 4 minutes
Cook until the salmon flakes easily with a fork
Remove from the pan and let it rest briefly
Serve immediately