In a medium bowl, mix together the ground beef, parsley, chili powder, salt, egg, and 1 cup of crushed saltine crackers. Form into 6 balls, then flatten into patties. Coat patties with remaining cracker crumbs, and place them on a plate. Refrigerate for at least 30 minutes.
Heat the oil in a large skillet over medium heat. Fry patties for about 7 minutes per side, or until the centers are well done and the outside is golden brown.