Preheat the oven to 400°F (200°C) and line a rimmed baking sheet with parchment paper.
In a large mixing bowl, combine the ground chicken, gluten-free breadcrumbs, Parmesan, beaten egg, garlic, parsley, oregano, salt, and pepper.
Mix by hand until the ingredients are just incorporated, being careful not to over-compress the meat which can cause toughness.
Form the mixture into 20 uniform spheres, approximately 1.5 inches in diameter each.
Arrange the meatballs on the prepared baking sheet with at least 1 inch of space between each.
Lightly brush or spray the surface of the meatballs with olive oil to encourage browning.
Bake for 20 to 25 minutes, or until the internal temperature reaches 165°F (74°C) on an instant-read thermometer.
Remove from the oven and let rest for 5 minutes before serving.