Mix the crab meat, bread crumbs, milk, egg, mayonnaise, Worcestershire sauce, mustard, Dijon mustard, parsley, green onions, salt and pepper in a bowl. Divide mixture into 4 patties and set aside.
In a frying pan, heat the oil and melt the butter. Then, place one patty in the pan and fry until golden brown on both sides, 2 to 4 minutes per side.