The 30-year-old was an additional to an array of talent already situated at the Etihad last summer, when Pep Guardiola's troops were still celebrating their treble-winning term of 2022-23.
Playing 30 times in the Premier League this campaign - starting 16 of those - Kovacic helped Man City to lift their fourth straight English crown ahead of challengers Arsenal and Liverpool.
In all competitions, the former Chelsea man made 46 appearances in the 2023-24 term on the blue side of Manchester, finding the net on three occasions.
Despite entering the twilight of his career, Kovacic is still a regular fixture and centurion for Croatia, with the midfielder hoping to steer his nation to glory at Euro 2024 in Germany this summer.
Man City's Kovacic 'wanted' by Galatasaray
According to Turkish news outlet Fotomac, Manchester City could potentially be waving goodbye to Kovacic after just one season in association with the player.
The report claims that Turkish Super Lig giants Galatasaray are keen on a summer swoop for the 30-year-old, who has won a staggering total of four Champions League titles across his trophy-laden career.
It is understood that Okan Buruk's side are preparing a bid for the Citizens star, attempting to make him the next in a host of Premier League players to switch to Turkey.
Just last summer, Wilfried Zaha swapped Selhurst Park and Crystal Palace for Galatasary, lured in by the opportunity to feature in the Champions League.
Although the world of football is in the midst of a busy international window, Galatasaray are hopeful that they can sit down with Man City over 'the next few days' to discuss a transfer.
Man City midfield
Despite struggling to the latter stages of his spell at Chelsea, Kovacic fit seamlessly into Guardiola's side in Manchester to help them lift the Premier League in May.
That being said, the Croatian is firmly behind the likes of Rodri and Kevin De Bruyne in the pecking order, meaning that the 30-year-old is not always assured of a start.
It is not currently clear whether the Citizens would be willing to let Kovacic depart the club this summer, with depth in engine-room areas not a particular strength.
If Galatasary are unable to secure the services of the former Real Madrid man, it is believed that Buruk's side would attempt to sign Tottenham Hotspur's Pierre-Emile Hojbjerg.