This is my husband's recipe as I wrote it down while he was making them the other night. You could use Saltines or bread crumbs in place of the Ritz Crackers, but the Ritz add body and a buttery taste. You could add onion and celery, if you like that kind of thing. And don't tell him this, but I suspect you could cook these in far less oil and just brown on either side, but you can't take the oil out of the Southerner!
3 - 6 oz. cans salmon
2/3 of a sleeve of Ritz crackers
1 cup (or so) mayonnaise
Drain salmon. Place in large bowl.
Crush crackers and add to salmon.
Add mayonnaise and stir. The consistency should be similar to tuna salad.
Form into 6 patties.
In a large pan, heat 1/4" vegetable oil on medium high heat until hot. Cook patties until lightly browned on each side - about 4 to 5 minutes per side.