Del Piero will be a free agent in June and many expect him to move to the American MLS to see out his career.
"We don't rule anything out, especially as Antonio Di Natale isn't exactly a kid and yet he's our top scorer," Pozzo told Sky Sport Italia.
"We also have players like Giampaolo Pinzi and Maurizio Domizzi who are over 30, so our team is a mixture of youth and experience. Udinese pick players based on their potential, their capacity and therefore do not rule anybody out.
"That would be the main reason why we don't tend to sign mature champions. He'd do very well here, though, and help the locker room. His experience would be good for the side."