Melt butter in a large skillet over medium heat. Add bell pepper, green onions, and garlic, and sauté 3 to 4 minutes or until vegetables are tender.
Stir together bell pepper mixture, chicken, and next 5 ingredients. Shape mixture into 8 (3 1/2-inch) patties.
Fry 4 patties in 2 tablespoons hot oil in a large skillet over medium heat 3 minutes on each side or until golden brown. Drain on paper towels. Repeat procedure with remaining 2 tablespoons oil and patties. Serve immediately with Rémoulade Sauce.