First, preheat your oven to 400°F (200°C).

Pat the salmon fillets dry with paper towels to remove any excess moisture. This will help the salmon sear better.

Season both sides of the salmon fillets with salt and pepper.

Place a cast iron skillet on the stovetop over medium high heat. Add the olive oil or melted butter to the skillet and swirl it around to coat the bottom evenly.

Once the skillet is hot (but not smoking), carefully place the salmon fillets in the pan, skin side down if using skin-on fillets. Be cautious of any oil splatters.

Cook the salmon on the stovetop for about 2 to 3 minutes to get a nice sear on the bottom. You should see a golden crust forming.

Flip the salmon fillets using a spatula and transfer the skillet to the preheated oven.

Let the salmon finish cooking in the oven for about 6 to 8 minutes, depending on the thickness of the fillets. The internal temperature of the salmon should reach 135°F for doneness.

Remove the skillet from the oven and let the salmon rest for a minute or two before serving.

Finally, garnish with fresh herbs. Serve with lemon wedges.