Start by draining the canned salmon thoroughly. Use a fork to flake the salmon into smaller pieces in a mixing bowl.
In the same bowl, add the almond flour, beaten eggs, mayonnaise, chopped parsley, salt, and black pepper to the flaked salmon. Mix everything together until well combined.
With clean hands, take a portion of the mixture and shape it into patties, about 2-3 inches in diameter.
In a non-stick frying pan, heat the olive oil over medium heat until hot.
Carefully place the formed patties into the hot oil. Cook for about 4-5 minutes on each side or until they are golden brown and crispy.
Once cooked, transfer the patties to a paper towel-lined plate to absorb any excess oil. Serve warm.