Thoroughly scrub the zucchini; remove both ends, but do not peel.
Coarsely shred the zucchini into a bowl; press out and remove the water.
Mix the dry zucchini with the unbeaten eggs, Parmesan, garlic, flour, parsley, salt, and pepper.
Meanwhile heat a small amount of olive oil in a frying pan.
Use a tablespoon to shape heaping spoonfuls of the zucchini mixture into patties.
Saute in the hot oil until lightly browned on both sides.