In a large bowl, combine ground chicken, breadcrumbs, Parmesan cheese, parsley, garlic, oregano, salt, pepper, and egg. Mix until well combined.
Form the mixture into meatballs, about 1 inch in diameter.
Heat olive oil in a large skillet over medium heat. Add meatballs and cook for about 5-7 minutes, turning occasionally, until browned and cooked through. Remove from skillet and set aside.
In the same skillet, add chicken broth and bring to a boil. Stir in the orzo and cook according to package instructions, about 8-10 minutes, until tender.
Once the orzo is cooked, stir in lemon juice, lemon zest, and season with salt and pepper.
Return the meatballs to the skillet, gently mixing them with the orzo. Cook for an additional 2-3 minutes to heat through.
Serve warm, garnished with extra parsley if desired.