Preheat oven to 400°F (200°C). Line a baking sheet with parchment paper.
Grate zucchini and squeeze out as much liquid as possible (using a towel or paper towel).
In a bowl, mix ground chicken, zucchini, ¼ cup breadcrumbs, pizza sauce, cheeses, and seasonings until combined.
Scoop ~1 tbsp portions, shape into nuggets.
Press nuggets into breadcrumbs to coat. Place on the baking sheet.
Lightly spray or drizzle with olive oil.
Bake 15–18 minutes, flipping halfway, until golden and cooked through (165°F internal temp).