According to Turkish outlet Fanatik (h/t Nihat Emre Koclaasan of Sport Witness), Galatasaray are interested in bringing back Denayer, who spent the 2015-16 season there on loan and wants to return, but City "remain adamant" he will not be rejoining them on another loan deal.
The Sky Blues are said to have ignored his desire to return there last summer, too.
The Belgian was instead sent to Sunderland, but he was unable to help keep the Black Cats up as they endured a miserable Premier League campaign.
Denayer is yet to make a senior appearance for the Citizens in his three years at the club having spent all of them on loan.
Galatasaray are hoping for more than another temporary spell, though, according to football journalist Kristof Terreur:
Given the 22-year-old looks to have little future at the Etihad Stadium, City would do well to consider allowing him to leave on a permanent basis.
Meanwhile, Celtic held talks with City on Monday and Tuesday in a bid to secure Patrick Roberts on loan for another season.
According to Robert Grieve of the Scottish Sun, the Glasgow giants hoped to have a deal wrapped up by 11 p.m. BST on Tuesday in order for him to play against FC Astana in the UEFA Champions League play-off first leg on Wednesday, but he could still be brought in to feature in the group stage if Celtic get there.
Per Squawka Football, the 20-year-old had an excellent season with the Hoops last year:
Overall, he finished the campaign with 11 goals and 19 assists in all competitions, and he enjoyed his time there:
According to Grieve, the youngster has informed his parent club of his desire to return to Celtic, but City would rather send him to a side competing at a higher level, with the likes of Southampton and OGC Nice also said to be interested.
Roberts enjoyed a productive campaign last year and received plenty of game time, making 47 appearances, so a return could be beneficial to his development.
City's desire for him to face a higher calibre of opposition is understandable, though, and it could equally help him kick on—they will need to carefully decide what is best.