Preheat oven to 400°F and line a baking sheet with parchment paper.
Place the grated zucchini in a clean kitchen towel and squeeze out all excess moisture to ensure the bites hold their shape.
In a large bowl, combine the ground chicken, squeezed zucchini, grated carrots, egg, almond flour, garlic powder, onion powder, salt, and pepper.
Mix the ingredients thoroughly until well incorporated, then form the mixture into 12 small, uniform bite-sized rounds.
Lightly coat the parchment paper with the olive oil before placing the bites on the sheet.
Bake for 15 to 18 minutes, flipping once halfway through, until the bites are golden-brown and cooked through.