Can has been heavily linked with a move way from Liverpool at the end of the season, with his contract due to expire on June 30.
The Germany international revealed in January that he has held talks about a free move to Serie A giants Juventus.
And bookmakers Betfair have priced Juve as 8/13 favourites to land the 24-year-old midfielder this summer.
But should Can decide to remain in the Premier League, champions elect Manchester City are at 8/1 to sign him.
Can would link up with former Bayern Munich manager Pep Guardiola at the Etihad.
The pair worked together for a short time at the Allianz Arena before Guardiola sold him to Bayer Leverkusen in 2013.
A return to Bayern can be found at 16/1, while a Liverpool stay is at odds of 12/5.
Can recently shot down rumours he has demanded a £200,000-a-week contract at Anfield, which would make him the highest-paid player at the club.
He posted on Instagram: 'Interesting stories about me in the press.
“I’m no longer going to comment on any false stories or rumours.
'I've just returned from international duty with the German team and working on coming back from injury. Looking forward to getting back on the pitch asap.'