With my arrowhead plants, I yank as many of those suckers as I can (not just in the fall, pre-winter, but most of the growing season as well) and pray they don't climb out of the pond, climb up the hill, crawl into my house & eat me in my sleep.
Seriously, though, when the top foliage dies back I cut off anything brown, leaving the smaller rosettes of foliage that are still green below the water line (but yanking out about half of what's there), and ignore them until Spring, when they will once again try to take over our small corner of the world.