Soak wooden skewers in water for at least 30 minutes.
Mix the seasoning ingredients in a small bowl. Cut the chicken into 3-inch pieces and toss with the olive oil and spice mixture. Pack the chicken tightly onto the skewers with no gaps.
Make the sauce: heat the butter and garlic in a microwave-safe bowl until partially melted. Whisk in the red pepper flakes, hot sauce, parsley, and parmesan. Reserve about 1/3 of the sauce (clean) for finishing; keep the rest for basting.
Air fryer: cook 2-3 skewers at 400F for 5 minutes. Flip, baste with sauce, and cook 2 more minutes. Flip again, baste, and cook 5-6 minutes until the internal temperature reaches 165F.
Top with the reserved clean sauce and extra parmesan. Serve over rice or as an appetizer.