Tear the sweetbread apart into 1 inch sections. Discard the stringy ligaments that hold it together. Rinse with water as you go. Dip the slightly wet sweetbreads into flour.
Heat 1/2 inch of oil in a large heavy skillet. Fry the sweetbreads in the hot oil until golden brown, turning once. Remove from oil, and drain on paper towels. Season with salt and pepper to taste.