The three clubs are all understood to have all declared their interest in buying want-away striker van Persie but have so far failed to meet the Gunners' valuation of the 28-year-old.
United, City and Juve are said to be happy to pay somewhere in the region of £15million but Arsenal are thought to be demanding in excess of £20million for their star player.
The Gunners are said to be prepared to hold out for more than £25million for Van Persie, who they appear to have all but given up trying to convince to sign a new deal at the Emirates Stadium to replace the one that expires next summer.
They will announce on Friday afternoon whether last season's Premier League top scorer will join them on their pre-season Asia tour, which they leave for on Saturday.
According to widespread reports, manager Arsene Wenger will opt against including van Persie, who this month went public with his desire to quit the club.
The Van Persie saga is shaping up to be a carbon copy of those that saw Cesc Fabregas and Samir Nasri both sold last summer, something which dragged on towards the tail end of the transfer window.
City and Juve have long been linked with Van Persie but the apparent interest from United is something more recent and could spark a bidding war for his services.
Arsenal have already signed two new strikers in Lukas Podolski and Olivier Giroud but are also said to be lining up Spain star Fernando Llorente were Van Persie to leave.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.