Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Place the shredded zucchini and carrots in a clean kitchen towel and squeeze firmly to remove as much excess moisture as possible.
In a large mixing bowl, combine the ground chicken, squeezed vegetables, egg, almond flour, garlic powder, onion powder, sea salt, and black pepper.
Mix the ingredients by hand or with a spatula until the vegetables and spices are evenly distributed throughout the meat.
Scoop about 1.5 tablespoons of the mixture at a time and form into small, round nuggets or bite-sized disks.
Arrange the bites on the prepared baking sheet and lightly brush the tops with olive oil.
Bake for 15 to 18 minutes, flipping the bites halfway through, until they are golden brown and reach an internal temperature of 165°F.
Allow the bites to cool slightly before serving to ensure they are safe for little ones.