Mix flaked canned salmon that has been picked through for any bones, minced onion, celery salt, Old Bay, dried parsley, and a pinch of cayenne in a large bowl. Add lemon juice, two beaten eggs, and flour, mix well.
Bake in the preheat oven for 10 minutes, turn carefully, and bake for 10 minutes more, or until golden on both sides.
While the salmon patties are baking, prepare the chili lime mayo by mixing together the mayonnaise and chili lime hot sauce. Drizzle over the salmon patties when serving.