Drain the 15 ounces canned salmon, remove any large pieces of skin or bones if present, and flake the salmon with a fork into a large mixing bowl.
Add 1/2 cup almond flour, 2 large eggs (beaten), 3 tablespoons mayonnaise, 1/4 cup finely chopped parsley, 1 teaspoon salt, and 1/2 teaspoon black pepper to the bowl.
Stir and mix thoroughly until the ingredients are evenly combined.
Divide the mixture into 8 equal portions and shape each portion into a patty about 1/2 inch thick.
Heat 2 tablespoons olive oil in a non-stick skillet over medium heat until the oil is hot and shimmering.
Add the patties to the skillet (work in batches if they don't all fit) and cook 3–4 minutes per side, flipping once, until both sides are golden brown and crispy.
Transfer the cooked patties to a paper-towel-lined plate to drain briefly before serving.