The experienced striker has allegedly chosen which clubs he prefers to join in case he moves to the MLS, with the player apparently uninterested in signing for the Canadian side
The 37-year-old is entering the final months of his contract with Juventus, and he appears set to continue his career elsewhere after the Bianconeri announced earlier in the season they will not offer the striker an extension.
A move to the MLS has been mooted as a strong possibility, and the former Italy international appears to have his priorities set already.
"We contacted Del Piero in January, but he said no," De Santis told Tuttomercatoweb.
"He told us that he prefers LA Galaxy and the New York Red Bulls over us, so we abandoned this option.
"There have not been any further contacts, so it is an old story. If he has changed his mind, however, we will not shut the door on him."
Del Piero, who has been at Juventus since 1993, has scored four goals in 22 competitive appearances in 2011-12. It is unlikely that either the Red Bulls or the Galaxy will pursue the player. Los Angeles has three Designated Players and New York has targeted Stephen Ireland.