Cook pepper, green onions, and garlic in a medium-size skillet with butter for 3 minutes or until soft.
Stir together peppers, green onions, and garlic with shredded chicken, breadcrumbs, egg, mayonnaise, mustard, and Creole seasoning. Shape chicken mixture into patties.
You can heat oil in the same pan you cooked the vegetables in. Heat to medium-high. Add chicken cakes to the pan, don't crowd the pan. Cook for 3 to 4 minutes on each side or until golden brown and cooked through.
Remove to a paper-towel-lined tray to drain. Cook another batch if needed.
Serve hot with Remoulade Sauce, on a salad, or in a sandwich.