how to cook wild salmon fillet on the stove?
Poaching. 1  1. Bring the water to a simmer on the stovetop. Place the water in a saucepan with tall sides. 2  2. Add the salmon fillets to the pan. If they still have skins, place the fillets skin-side down. 3  3. Serve warm. Remove the salmon fillets from the heat and let rest for 3 to 5 minutes before serving.