Heat the Pan: Place a skillet over medium-high heat and add the olive oil and butter. Let the butter melt and start to sizzle.
Season the Salmon: Pat the salmon fillets dry with a paper towel. Season both sides with salt and freshly ground black pepper.
Sear the Salmon: Place the salmon fillets in the pan, flesh side down. Sear for 3–4 minutes until golden and crispy.
Flip & Finish Cooking: Carefully flip the fillets and cook for another 2–3 minutes until the salmon is opaque and flakes easily with a fork.
Serve & Enjoy: Remove from heat and drizzle any remaining butter from the pan over the salmon. Serve immediately with your favorite sides.