Heat the 2. 0 tbsp (1. 0 fl oz / 30ml) of avocado oil in a large skillet over medium-high heat.
Add the chopped shallots (2. 0 oz / 55g) and sauté for about 2 minutes until they become fragrant and translucent.
Place the four 6. 0 oz (170g) salmon fillets into the skillet skin-side down (if applicable).
Pour the 1. 0 tbsp (0. 5 fl oz / 15ml) of lime juice evenly over the fillets, then scatter the 2. 0 tbsp (0. 5 oz / 14g) of chopped walnuts over and around the fish.
Remove the skillet from the heat.
Garnish the finished dish with 2. 0 tbsp (0. 1 oz / 4g) of fresh chopped parsley.
Serve immediately while warm.
Pat the Fish Dry: Before adding your salmon to the skillet, use a paper towel to pat the fillets completely dry. Removing excess moisture ensures you get a beautiful, golden-brown sear instead of steaming the fish.