In a large bowl, combine the tuna, mayonnaise, bread crumbs, parsley, mustard, hot sauce, salt, and pepper. Mix well and shape the mixture into four equal patties, each about 1-inch thick.
If you're stopping here:
Wrap the burgers tightly in plastic wrap and refrigerate up to 3 days or freeze up to 3 months. Thaw completely in the refrigerator or microwave for 3 to 4 minutes on LOW before cooking.
When you're ready to eat:
Heat the oil in a large skillet over medium heat. Unwrap the burgers and cook until golden brown and heated through, 3 to 5 minutes per side. Serve the burgers on buns with sliced tomato and pickles.