The report states that Hanover are prepared to offer Mevlut Erdinc in an exchange deal for the former Borussia Dortmund man.
Scottish giants Celtic have also joined the race for the World Cup winner according to the Scottsman.
The report claims that the the Lions are happy to let the former Borussia Dortmund man leave for a fee in the region of £1.8 million.
Galatasaray signed Grosskreutz from Dortmund last summer but were unable to register the 26-year-old after failing to send over the necessary paperwork to FIFA before the transfer deadline.
Grosskreutz has been unable to play a single game for the Lion’s as a result of the mistake and is reported to be unhappy with the current situation.