The report adds that Ramsey would have favoured a move to Liverpool if he stayed in the Premier League.
However, although there is still a possibility the situation might change, it is nearly certain the former Cardiff player will go overseas.
Reports in both Italy and the United Kingdom have suggested that Ramsey's exit will see him swap North London for Italy and the Serie A.
He will complete the campaign with Arsenal prior to leaving as a free agent in the summer.
It is believed that the 28-year-old will become the second highest paid player behind Cristiano Ronaldo for a club which has won the last seven Serie A titles and are nine points clear this term.
Earlier this season, the Gunners announced that the club would not be offering the Welshman a new deal so an exit has always looked likely.
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Ultimately Arsenal were not prepared to meet his salary demands, with some among the hierarchy regretting the new deal given to Mesut Ozil a year ago, worth £350,000 per week, and determined to avoid a repeat.
But Emery insists he still has a lot of respect for Ramsey.
The Wales worldwide is Arsenal's longest-serving playing, having moved to the Emirates from Cardiff City as a teenager back in 2008. "We can only loan players", said Emery.
Juventus boss Max Allegri and club director Fabio Paratici are huge fans of the Welsh midfielder and have emerged as the favourites to sign him in recent weeks.
"In the last match I was very happy with him".
"I asked him in the last match at Blackpool if he's ok to help us play, he said yes I want to play".