Chery enjoyed a brilliant campaign with the Eredivisie side in 2014/15, ending the year as one of the top-scorers in Holland with 15 goals.
It was his second season with Groningen after joining on-loan from Den Haag the year before, when he again reached double figures.
He has already been strongly linked with a move to England, with Aston Villa holding talks about him – as reported by talkSPORT - but they could not strike a deal.
However, QPR tried to make a quick move to land Chery, but HITC Sport understands their approach was rejected by the Dutch club.
27-year-old Chery is understood to be very keen on making the move to England, but has his sights set on a move to the Premier League rather than the Championship - although QPR could return with an improved bid.