Apart from Juve, Manchester giants City and United were keen to sign the 28-year-old Gunner and even had bids rejected for the striker. However, Parisi has claimed that there are 80 percent chances of Van Persie joining the Serie A champions.
"I think Juventus have had a signed contract with Van Persie for some time locked away in a notary's desk," Parisi was quoted as saying in the Italian media.
"It is just my opinion but I think there is an eight out of ten chance the Dutchman will join the Bianconeri," he said. "Juventus want to win and he is considered the ideal addition to achieve that."
After Netherlands poor campaign at the Euro 2012 competition, Van Persie made it clear that he would not extend his contract with Arsenal, prompting several clubs to chase the £20m-rated striker.
The Gunners had offered £130,000-a-week plus cash on signing but Van Persie hinted at joining rivals United with a demand of £220,000-a-week wages similar to that of striker Wayne Rooney.
Juventus had reportedly made a £70m offer to lure Van Persie to Italy with part of the money to Arsenal as transfer fee and a mammoth £190-000-a-week salary package for five years.
Juventus had also shown interests in Manchester City striker Edin Dzeko but Parisi said, "I don't think Edin Dzeko is the right player for the Bianconeri."