The salmon should be patted dry with a towel. Both sides of the fillets should be seasoned with salt and pepper.
Put half of the butter (1 tablespoon) into a large shallow pan and melt it over low heat.
Cook the almonds until golden (2-3 minutes) after the butter has melted (but not browned). Remove the almonds from the butter and set them aside.You may not be able to see the almonds because of the foaming butter. Make sure the almonds do not burn while cooking. Put the heat on medium. To the pan, add 1 tablespoon of butter and 1 tablespoon of olive oil. (When using salmon that is very fatty, such as king salmon, do not use olive oil).
Depending on the thickness of the fillets, cook for 2-4 minutes.
It is expected that the fish's flesh will become opaque as it cooks. Flipping the fish should be done when it's halfway through. Flipping the fish should be done without touching it.
Test the fish using a thin metal spatula. You can flip the fish if the spatula glides under it without sticking. If the fillets do not release after 30 seconds, wait for another 30 seconds. Upon completion of cooking, they will remove them.
Cook for another two to four minutes until the fish is done. Depending on the thickness of the fillet, the cooking time will vary. The fish is done when it is fully opaque and no longer has any translucent patches. Watch the sides of the fillets for this indication.
Cover or bake the fish at 200°F to keep it warm. Remove excess butter from the pan, then transfer the fish to plates, leaving the remaining butter in the pan.
The heat should be reduced to medium-low and lemon juice should be added to the pan at this time. Pour the juice into a bowl, stir it, and let it simmer for about a minute. Turn off the heat after adding half the herbs.
Toasted almonds and remaining herbs should be served alongside the fish.