Been meaning to make this for a while. Its just a really simple way to eat a lot more zucchini.
Take a medium to small zucchini, cut the ends off. Take a vegetable peeler and peel off lengthwise layers of the zucc. Don't worry if some pieces break or are half or whatever, so long as they're roughly even in thickness.
Heat some olive oil in a small skillet. Add the zucchini, and toss to coat in oil. Season to taste. As pieces of zucchini get tender, remove them to a plate or bowl. When it's all done, grate up some parmesan and toss on tovep. Enjoy!