Reports suggest that newly-appointed Leicester manager Claudio Ranieri has made the 30-year-old, who has four years to run on his current contract with the Super Lig outfit, one of the names at the top of his target list.
Somewhat understandably, Galatasaray are reluctant to sell their captain. Having joined the club from Trabzonspor in 2011, Inan has made 133 league appearances for the club across four seasons, while he has represented his country 43 times in total.
Where would he fit in at the King Power Stadium?
The Foxes are on the hunt for a new central midfielder after former Inter Milan star Esteban Cambiasso decided not to extend his stay with the club - announced on his Facebook page - which means Inan would be installed directly into the first-team set-up.
At 30 years of age, Inan remains a key player for Galatasaray - this is evident from his performances for the club last season.
Indeed, the Turkey international finished the campaign as his club's most creative player - having fashioned 63 key passes - ahead of the likes of Wesley Sneijder (58) and Burak Yilmaz (32), while he completed 84% of his attempted passes and 64% of his take ons.
Meanwhile, he finished the season as the club's fourth top scorer, having found the back of the net on four occasions. His efforts in the final third saw him record a shot accuracy ratio of 41%.