Preheat the air fryer to 380°F for 3 minutes.
Peel the squash, seed it, and cut into 1-inch cubes.
Whisk oil, maple, cinnamon, paprika, garlic, salt, and pepper in a large bowl.
Add squash and toss until every piece is lightly coated.
Spread cubes in the air fryer basket in a single layer.
Cook for 12 minutes, shaking the basket halfway through.
Air fry 6 to 8 minutes more until browned and fork-tender.
Toss with thyme and Parmesan, then serve right away.