Toss zucchini and salt together in a large colander and place in sink to drain for 10 minutes.
Transfer zucchini to the center of a piece of cheesecloth; wrap cheesecloth around zucchini and squeeze to drain as much moisture as possible.
Mix flour, Parmesan cheese, egg, and garlic together in a large bowl. Stir in zucchini, then season with kosher salt and pepper.
Heat olive oil in a large skillet over medium-high heat.
Working in batches, scoop tablespoonfuls of zucchini mixture into the hot skillet and fry until golden brown, about 2 minutes per side.
Serve hot and enjoy!
