Preheat oven to 425F and line a large baking sheet with parchment paper. Set up a three-bowl breading station. Place gluten free flour in the first bowl and beaten eggs in the second. In the third bowl, combine gluten free panko breadcrumbs, parmesan cheese, garlic powder, smoked paprika, onion powder, salt, and pepper.
Pat chicken pieces dry with paper towels. Dredge each piece in gluten free flour, dip in egg, then press into the panko mixture, coating all sides evenly.
Place breaded nuggets in a single layer on the prepared baking sheet, leaving space between each piece. Spray the tops generously with cooking spray.
Bake for 10 minutes, then flip each nugget, spray with cooking spray again, and bake for 8 to 10 more minutes until golden brown and the internal temperature reaches 165F.
Remove from oven and let rest for 3 minutes. Serve with your favorite dipping sauces like honey mustard, barbecue sauce, or ranch.