Heat butter in a large skillet with tight fitting lid. Saute' carrot slices until carrots are well coated with butter, 2 to 3 minutes.
Add Marsala and cover. Cook over medium to low heat until carrots are tender and liquid is reduced, 8 to 10 minutes. (if liquid reduces before carrots are tender, add 1 tablespoon chicken stock or water.) Sprinkle with parsley before serving. Serves 6.