Drain juice from the salmon and add to a medium bowl. Add 6 crushed saltines, 2 tbsps mayonnaise, 1 tbsp hot sauce, and stir briefly. Add egg, 2 tbsps celery, 2 tbsps scallion, 2 tbsps green pepper, 1 tbsp Parmesan and a pinch of salt. Mix lightly until incorporated, leaving some larger chunks of salmon.
Form mixture into 4 loose patties. Place patties on a plate, cover and refrigerate for 30 minutes, up to 2 hours. See note #2
Make the sauce(s) while you refrigerate the salmon patties.
Heat 1 tbsp oil and 1 tbsp butter over medium heat until butter has melted. Gently add the patties and cook until just golden, about 3-4 minutes. Flip and cook another 3 minutes or so, adjusting heat if necessary.
Serve immediately with desired sauces. Leftovers can be refrigerated for two days, in plastic or airtight container. Great crumbled in scrambled eggs or over any tossed salad.