Preheat the oven to 425°F (220°C). Line a large baking sheet with parchment paper.
Shred the zucchini using a box grater or food processor.
Transfer the shredded zucchini to a clean kitchen towel or cheesecloth. Gather the towel around the zucchini and squeeze firmly to remove as much excess liquid as possible.
Place the drained zucchini in a large mixing bowl. Add the eggs, 1/2 cup mozzarella, Parmesan, garlic powder, Italian seasoning, salt, and black pepper.
Stir until everything is thoroughly combined and the zucchini is evenly coated.
Transfer the mixture to the prepared baking sheet. Press and shape it into a thin, even rectangle so it cooks consistently.
Bake the Cheesy Zucchini Breadsticks base for 20–25 minutes, or until it looks golden brown around the edges and feels firm.
Remove the baking sheet from the oven and sprinkle 1 cup shredded mozzarella evenly over the top.
Return it to the oven and bake for another 5–7 minutes, until the mozzarella is melted and bubbly.
Allow the breadsticks to cool for several minutes before slicing.
Garnish with chopped fresh parsley or basil, if desired. Serve warm with marinara sauce or your favorite dipping sauce.