Preheat the air fryer to 400°F (200°C).
Soak wooden skewers in water for at least 10 minutes; skip if using metal skewers.
Cut the 2 large chicken breasts into large, evenly sized chunks for uniform cooking.
In a mixing bowl, combine 1/4 cup avocado or olive oil, 1/2 tsp salt, 1/4 tsp pepper, 1/2 tsp garlic powder, and 1/4 tsp paprika; toss the chicken chunks to coat evenly.
Thread the seasoned chicken pieces onto the skewers, leaving a small gap between pieces for even airflow.
Place the skewers in the air fryer and cook at 400°F for 7 minutes, then flip each skewer and cook for another 7 minutes, or until the chicken reaches an internal temperature of 165°F.
While the chicken cooks, make the sauce: in a small bowl, mix 1/4 cup softened butter, 3 tbsp honey, 2 finely chopped garlic cloves, 1 tbsp chili garlic sauce, 1/4 cup grated Parmesan, and the chopped basil until combined.
When the chicken is fully cooked, brush the butter-parmesan sauce over all sides of the skewers and serve warm.