With no transfer fee to pay, the likelihood is Ramsey's next club will make him the best-paid British player of all time.
Since joining the Gunners from Cardiff City in 2008, the 28-year-old has established himself as a steady presence in the Arsenal midfield, making 252 Premier League appearances in which he scored 52 goals.
It is expected that he will sign a pre-contract agreement this month.
However, according to Italian news outlet Gazzetta dello Sport, Juventus are eager to bring Ramsey in as soon as possible and have lined up for the midfielder to fly out to Turin to complete his medical after the West Ham game on Saturday with Arsenal's permission.
"My idea and focus, I say to him every day, is with us", said Arsenal's manager, per Sky Sports.More news: Mercedes-Benz CLA unveiled at CES 2019
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'And I was very happy with him in the last match. I asked in the last match at Blackpool if he is OK to help us play and he said, "Yeah, coach, I want to play" and he played with a very big behaviour and commitment to us.
"His future is individually for him, for his family, his agent".
Club officials reportedly regretted the £350,000 a week deal given to Mesut Ozil and were determined to avoid a repeat, even if it meant losing a player of Ramsey's ability.
"We can not sign permanently".
But Emery does not use a number eight, with Ramsey restricted to play a deeper, more disciplined role without the license to roam - or as a No.10, which he is not suited to.
Arsenal sit fifth in the Premier League, just three points off the top four, and are also into the last 32 of the Europa League and FA Cup.