In a medium bowl, combine the ground chicken, cumin, allspice, coriander, cayenne, garlic powder, parsley, salt, and pepper until the spices are evenly distributed.
Briefly dip one rice paper sheet into a bowl of warm water for 5 seconds until pliable, then lay it flat on a clean, damp surface.
Spread half of the seasoned chicken mixture into a thin, even layer across the center of the rice paper, leaving a small border at the edges.
Fold the sides of the rice paper over the chicken to create a sealed rectangular packet, then repeat the process with the second sheet and remaining chicken.
Using a sharp knife or kitchen shears, cut the chicken packets into roughly 1-inch squares.
Lightly coat the air fryer basket with avocado oil spray and arrange the squares in a single layer, ensuring they do not touch.
Air fry at 375°F (190°C) for 12 to 15 minutes, flipping the bites halfway through, until the chicken is cooked through and the rice paper is golden and crispy.