And the Turin outfit have confirmed the deal, with Ramsey signing a four-year contract.
Ramsey published a statement on Twitter thanking Arsenal's "loyal and supportive" fans.
United, on the other hand, had reportedly made an enquiry about the Arsenal star last summer, but they ended their pursuit for him once José Mourinho was sacked in December.
He also had two loan spells at Nottingham Forest in 2010, and back at former club, Cardiff in 2011. "You welcomed me as a teenager and have been there for me through all the highs and lows I've encountered during my time at the club".
Wright continued by praising Ramsey's contributions in north London, highlighting the 28-year-old's work ethic and drive to succeed despite fierce criticism as a key component to making him a great player. He has won three FA Cups and been named Arsenal's player of the season twice since he joined from Cardiff City for £5 million in 2008.
Juventus travels to Spain on February 20 to take on Atletico Madrid in the round of 16 of the Champions League, which can be streamed via fuboTV (Try for free).
Interestingly, the switch will see Ramsey become Juve's second-highest earner behind Cristiano Ronaldo, who presently pockets £500,000 as weekly wages.