Marchisio has been continually linked a move away from Juventus after the emergence of Paul Pogba meant a tougher fight for a midfield spot in Antonio Conte's starting eleven.
With Manchester United failing to snag Cesc Fabregas after three bids, the English champions have been linked with a plethora of midfielders and Marchisio is amongst the names mooted as a possible target for United while big-spending Monaco have also been rumoured to be interested in him as well.
The Juventus midfielder admitted that it feels good to be linked with big clubs across the continent and refused to rule out the possibility of a move this summer despite his wish to end his career with his childhood club.
"Every summer the possibility that I might go away is always talked about," he told Gazzetta dello Sport.
"I'm certainly glad that big European clubs are linked to my name."
"My dream is to still end my career with Juventus," he added.
"Even if I know that in football, you never know."