The Dutchman recently released a statement confirming that he would not be signing a new contract at the club, with his current deal set to expire next summer.
And following the surprise revelation, there have been no shortage of potential suitors for Van Persie with Manchester rivals City and United, as well as Serie A side Juventus, all reportedly keen on the striker.
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But Ramsey has refused to comment on the speculation surrounding the Gunners captain, and insists the Arsenal squad know little about what his next move will be.
The Wales captain told reporters, "There is no need for me to get involved in that.
"I don't know and we as players don't know what is happening so we will just have to wait to see what happens."
With Van Persie’s immediate future uncertain, scoring responsibility will inevitably fall upon new arrivals, Lukas Podolski and Olivier Giroud and Ramsey has backed the two forwards to excel at the Emirates.
"They are great additions to the squad," the midfielder stated.
"Hopefully they can do their bit for the team and we can have a big season."