In a large skillet, preheat enough oil to pan-fry the eggplant, about 1/4 cup. Season the eggplant with salt. In a mixing bowl, whisk the eggs until frothy. Whisk in the sugar and a pinch of salt. Add in enough flour to make a light batter. Soak the eggplant slice in the light batter. Remove the eggplant from the batter and gently lay in the hot oil. Pan-fry the eggplant for 2 to 3 minutes on each side or until golden brown. Remove from the oil and drain on a paper-lined plate. Serve the eggplant immediately with powdered sugar.