Preheat oven to 400°F and line a baking sheet with parchment paper.
Grate the zucchini and sprinkle with salt. Let sit for 10 minutes, then squeeze out as much water as possible using a clean towel.
In a mixing bowl, combine zucchini, egg, Parmesan, cheddar, breadcrumbs, garlic, pepper, and onion powder. Stir until well mixed.
Scoop small spoonfuls of the mixture and shape into tots. Place them on the prepared baking sheet.
Lightly spray the tots with olive oil.
Bake for 18 to 22 minutes, flipping halfway through, until golden brown and crisp on the outside.