In a medium bowl, combine the ground chicken, egg, almond flour, sea salt, black pepper, garlic powder, and dried oregano until well incorporated.
Roll the mixture into small, uniform meatballs about one inch in diameter.
Heat the olive oil in a large non-stick skillet over medium heat.
Add the meatballs to the skillet and sear until golden brown on all sides, roughly 6 minutes.
Pour the tomato puree into the skillet and add the sliced zucchini, stirring gently to coat the meatballs.
Reduce heat to low, cover the skillet, and simmer for 10 minutes until the meatballs are cooked through and the sauce has thickened.
Top with freshly chopped basil and serve warm directly from the skillet.