Heat the oven to 375F.
Drizzle the olive oil over the filet and season with salt and pepper.
Add the butter to an oven proof pan over a high heat. (Cast iron is best if you have one)
Once the butter has melted add the salmon filet and brown on both sides, about 1-2 minutes per side.
Place the pan in the oven and cook until the salmon is cooked through, about 10-12 minutes.
Let rest for 5 minutes before serving.