The report states that Galatasaray are willing to offload the Swiss international for £1.4 million and that Young Boys are also in the race to sign Dzemaili.
The experienced midfielder failed to make an impact since joining Galatasaray at the start of the season due to a string of injuries and falling behind the pecking order with Felipe Melo, Selçuk Inan and Hamit Altıntop keeping him out of the team.
Galatasaray ended the 2014-15 season with 77 points following their 1-1 draw with Rizespor in their final game of the season.
The Lions have become the first Süper Lig club to wear four stars on their shirt following the championship.
The Istanbul giants will qualify directly for the Champions League group stages this season.