The 28-year-old is out of contract in June and from January 1, the Welsh global has been able to negotiate with clubs and can sign a pre-contract.
He was on the verge of penning a new deal with the Gunners in October 2018, but the club chiefs withdrew their offer on the advice of new manager, Unai Emery. "I am just waiting for him to be OK to play but this morning he did not train with us".
Khedira, 31, who won the 2014 World Cup with Germany, may go the other way in Juventus' bid to bring Arsenal's Welsh midfielder Aaron Ramsey to Turin in the January transfer window, reports the Mirror.
But they also claim that the Old Lady want to push the deal through sooner and land Ramsey this month; with negotiations with the Welshman's agent David Baldwin having been in negotiations with the Italian giants for a number of days.
Aaron Ramsey of Arsenal holds off a tackle from Fabinho of Liverpool in the Premier League game between Liverpool v Arsenal at Anfield, Liverpool.More news: United States and China to hold trade talks in Beijing next week
The Spaniard was right to cut ties with Jack Wilshere last summer.
"He [Ramsey] is an excellent player, he has been playing at a high level for many years and plays for a great team". He overcame a horrific broken leg, sustained against Stoke in February 2010, to rebuild his career and his subsequent success with the club, and with Wales at Euro 2016, has been a testament to his desire and commitment.
And Juve legend Andrea Pirlo added his weight to the decision to land him, saying: "He is a talented player, he is a complete player who can do pretty much everything".
The former Bayern Munich defender has been regarded as one of Europe's best over the past four years and Emery may well allow Ramsey to leave earlier than expected if he can secure the experienced defender's services in the coming weeks.
Staying at Arsenal will not secure first-team football either, but as Emery rebuilds the team he inherited from Arsene Wenger, he might come to realise that Ramsey is a player worth keeping.