The Senegal international has been linked with a move away from the HDI-Arena, with Premier League outfits Cardiff City and Stoke City touted as potential destinations.
Indeed, the German side's president Martin Kind revealed earlier on in January that the Welsh team have shown an interest in the player, but insisted they would not let him go.
|CARDIFF CITY LATEST
|18/1||Cardiff are 18/1 with bet365 to cause a shock and beat Manchester City|
"Diouf remains definitively until the summer at Hannover," Solbakken told Kicker.
"There are four clubs Mame would play for but nobody wants to pay the money Hannover asks."
Diouf arrived at Hannover from Manchester United in January 2012 following loan spells at Molde and Blackburn Rovers.
Former Molde manager Ole Gunnar Solskjaer, now at Cardiff, has been heavily linked with an interest in Diouf recently, with the striker having scored five goals in the Bundesliga this season.