How to Cook Crispy Skin Salmon Fillet with a White Wine Lemon Sauce. This method guarantees that the skin will be even crispier than a potato chip & the salmon comes out perfectly cooked! Use the same technique with any skin-on fish fillets for great results. Just follow my video step-by-step guide. 2 portions fish fillet 1 tablespoon extra-virgin olive oil Allow the fish fillets to reach room temperature prior to cooking. Just prior to cooking smear the skin with a drizzle of olive oil then sea