Sprinkle chicken with salt and pepper; place in a lightly greased 13- x 9-inch baking dish.
Layer chicken evenly with sauerkraut, corned beef, and Swiss cheese. Pour dressing over top.
Combine breadcrumbs, butter, and parsley; sprinkle over casserole.
Bake casserole at 350° for 35 minutes or until golden and bubbly.