Add the chicken, minced onion, egg, garlic, basil, and oregano to a large bowl. Add the Greek yogurt and season with salt and pepper. Mix with your hands or a rubber spatula until combined.
Add the panko and Parmesan cheese and mix until combined. Roll the mixture into tablespoon-sized meatballs. The mixture should yield 15 to 16 meatballs.
Bake the meatballs:
Lightly grease a baking sheet with 1 tablespoon extra virgin olive oil. Arrange the meatballs in an even layer. Transfer to the preheated oven for 20 to 25 minutes, flipping once midway through cooking. Once the meatballs reach 165ºF, remove them from the oven.
To serve:
Transfer the meatballs to a serving platter and sprinkle with more Parmesan cheese and fresh basil leaves on top.