Cut into uniform pieces and boil in salted water, 25 to 30 minutes or until tender.
Drain well, and let dry.
Just before serving, heat the butter in a skillet and saute over moderate heat until light brown on all sides, letting the parsnips caramelize a little in their own sugar. It is best if you have a large enough pan that they can be cooked in a single layer.
Season with the nutmeg, salt and pepper and serve in a warm vegetable dish, garnished with parsley.