Preheat air fryer to 400°F.
Scrub potatoes clean and poke holes using a fork.
Air fry potatoes for 45-60 minutes until fork tender, rotating every 20 minutes.
Remove potatoes and cut in half lengthwise.
Place cooling rack over large bowl and invert potato halves to scoop flesh; discard skins.
Add butter, garlic powder, onion powder, salt, pepper, and green onion to warm potatoes.
Gently mix until butter melts; stir in cheese and adjust seasoning.
Portion potato mixture into 1½ tablespoon balls and place on plate.
Cover with plastic wrap and freeze for 15-20 minutes.
Prepare breading stations: bowl 1 with flour, salt, and pepper; bowl 2 with whisked egg and water; bowl 3 with Panko breadcrumbs, salt, and pepper.
Roll each potato ball in flour, then egg wash, then Panko breadcrumbs.
Preheat air fryer to 400°F and spray basket with oil.
Place croquettes in basket evenly spaced and air fry for 5-7 minutes, shaking halfway through.
Let cool slightly before serving.