Prep the Veggies: Grate zucchini and potato, then squeeze out as much moisture as possible using a clean kitchen towel.
Mix: In a large bowl, combine the zucchini, potato, breadcrumbs, Parmesan, egg, garlic powder, onion powder, salt, and pepper. Mix until everything is well incorporated.
Shape: Scoop out tablespoon-sized portions and roll them into small cylinders (tot shapes). Place them on a parchment-lined baking sheet.
Bake: Preheat your oven to 425°F (220°C). Lightly spray tots with olive oil. Bake for 20 minutes, flipping halfway, until golden and crispy.
Serve: Let cool for a few minutes, then serve with your favorite dipping sauce!