See recipes for Leftovers Makeover: Roast Salmon Salad Sandwich too. How to Make Salmon Patties. Add Patty Ingredients to Salmon… These salmon patties come together in just a few easy steps and then are pan fried to perfection on the stove top: Flake Salmon: First, place leftover salmon filet(s) in a large bowl and use a spoon to break the salmon up into small shredded chunks. A rich medley of leftover salmon, lemon juice, capers, and sauteed onions stars in these luscious open-faced salmon melts topped with gooey, golden cheese. 20 homemade recipes for leftover salmon from the biggest global cooking community!