Given Boba Fett's hobby of dumpster diving for antiques (how he happened to find Han) it'd likely wind up with him. Considering he idolizes Din he'd probably take it home and put it in his Detolf.
No way Fett has a Detolf.
He puts his collectables on a wooden shelf supported by Cinder blocks and never dusts them.
Sent from my iPhone using Tapatalk