Add the zucchini noodles to the hot oil and saute sautÃ© them for 6 to 7, minutes stirring. 1  Frequently keep a close eye on the zucchini noodles as they. 2  Cook if you allow them to stick to one spot for too, long they may begin to, burn stick to the, pan and fall.  apartdd the zucchini noodles to the hot oil and saute sautÃ© them for 6 to 7, minutes stirring. 1  Frequently keep a close eye on the zucchini noodles as they. 2  Cook this cooking method produces noodles that are tender yet slightly crispier than those created through the boiling.  method