An air fryer packs easily once it is clean; the real issue is leftover grease and crumbs finding their way onto everything else in the box. A thorough clean first makes this a five-minute wrap and box.
Pro tip: Run the basket through the dishwasher if it is dishwasher safe for the deepest clean before packing.
Watch out: Never pack an air fryer with grease residue still inside; it can smear and stain anything packed nearby, especially fabric or paper items.