Roberto Mancini is known to be keen on adding the Dutch striker to his Manchester City squad this summer but Arsenal are not keen to sell to a Premier League rival.
However Parlour, who insists the Gunners should cash in on Van Persie now rather than let him leave for free next summer, reckons some kind of swap deal could take place.
“I don’t know what Arsenal will look at, but if [Van Persie] does want to go to Manchester City then maybe they could look at a swap deal with someone like Dzeko and bring him in,” Parlour told talkSPORT.
“His wages might be a problem. I don’t know what kind of wages Dzeko is on at Manchester City and Arsenal have always had that pay structure that they want to keep to and maybe they have to change that.
“Times are moving on and if you want the best players they go for the best money.”