Preheat oven to 400°F (200°C) and line a baking sheet with parchment paper or a silicone mat.
Place the grated zucchini in a clean kitchen towel or cheesecloth and squeeze aggressively to remove as much liquid as possible.
In a large mixing bowl, combine the squeezed zucchini, beaten egg, breadcrumbs, Parmesan, garlic, parsley, salt, and pepper.
Mix the ingredients thoroughly until a uniform, moldable consistency is achieved.
Scoop approximately 1 tablespoon of the mixture per bite and roll into small spheres or uniform cylinders.
Arrange the bites on the prepared baking sheet, leaving 1 inch of space between each.
Bake for 10 minutes, then rotate or flip each bite and bake for an additional 8 to 10 minutes until the exterior is golden brown and firm.
Remove from the oven and let rest for 2 minutes before serving.