Chop first 4 ingredients. Cook vegetables, ground beef, and garlic in a Dutch oven over medium-high heat 10 minutes, stirring until beef crumbles and is no longer pink.
Stir in crawfish and next 6 ingredients; cook 3 minutes or until thoroughly heated. Spoon mixture into a lightly greased 13- x 9-inch baking dish.
Bake at 350° for 25 to 30 minutes or until lightly browned. Sprinkle with parsley.