Preheat the oven to 400°F (200°C) and line a baking sheet with parchment paper, if using.
Rinse the zucchinis and trim the ends. Grate them using a grater or food processor.
Place the grated zucchini in a clean towel or cheesecloth and squeeze out excess moisture.
In a large mixing bowl, combine the grated zucchini, breadcrumbs, grated Parmesan, eggs, minced garlic, salt, black pepper, and oregano. Mix well until all ingredients are fully combined.
Use your hands to form small balls or patties from the mixture, about 1-2 inches wide. Place them on the lined baking sheet, spacing them apart.
Lightly spray the tops with olive oil or brush with olive oil.
Bake in the preheated oven for 20 minutes, flipping halfway through, until they are golden brown and crispy.
Remove from the oven and let them cool slightly before serving.