In a large bowl, combine the chicken pieces, soy sauce, sesame oil, vegetable oil, garlic powder, onion powder, and black pepper. Mix well to coat the chicken evenly. Let it marinate for at least 15 minutes for better flavor.
Preheat the air fryer to 400°F (200°C) for about 5 minutes.
Add the marinated chicken to the air fryer basket in a single layer. Cook for 10 minutes, shaking the basket halfway through to ensure even cooking.
After 10 minutes, add the broccoli, bell peppers, and zucchini to the basket with the chicken. Toss gently to combine.
Continue cooking for an additional 8-10 minutes, shaking the basket halfway through, until the vegetables are tender and the chicken is cooked through (internal temperature should reach 165°F).
Remove from the air fryer and let it rest for a couple of minutes. Serve hot, garnished with chopped green onions and lemon wedges on the side.