Pat the salmon fillets dry with paper towels
Season both sides with salt and pepper
Heat a frying pan over medium heat
Add a small amount of oil or butter 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
Check that the salmon flakes easily with a fork
Remove the salmon from the pan
Let it rest for 1 to 2 minutes before serving