Add oil to a large skillet over medium high heat. Season salmon with salt and pepper.
Once hot add in salmon skin side down. (I typically do 2 at a time so I do not overcrowd the pan). Cook salmon for 5-7 minutes on skin side (depending on size).
Very carefully flip salmon. If the skin is sticking to the pan give it more time to cook. It should release easily from the pan. Cook for 1-3 minutes on this side until the salmon looks opaque.
Meanwhile in a small saucepan melt butter, dill and lemon juice. Brush the butter mixture onto the cooked salmon.
Serve immediately with lemon and dill for garnish.