Denayer has been at City since 2013 but is yet to make a senior appearance for the club and he has been loaned out for the past four seasons to Galatasaray, Celtic and Sunderland.
“If an offer comes in from Galatasaray, ‘why not?’ I say,” Denayer told BeinSports.
The 22-year-old is on course to win a league title this season, with Galatasaray sitting at the top of the league table in a closely contested title race.
Denayer joined Galatasaray before the close of the summer transfer window, having hoped for a move to Lyon during pre-season.
However, Denayer felt City were trying to push him into a loan move to Girona and he was unhappy with the demands being placed for a permanent transfer.
Denayer told Sport Voetbalmagazine in July last year: "Man City are not keen on selling me, or only against unreasonable terms for potential buyers: a buy-back clause for almost the same price as the selling price.
"That means that clubs aren't keen on signing me permanently and prefer to take me on loan. I've nothing against a new loan deal, but I want to choose my destination. Lyon would be the perfect place for me. An ambitious club in an attractive league.
"The club and I had already reached a personal agreement, but City are vetoing a move and are pushing me to Girona… we'll see what'll happen in the coming weeks. If the situation is not resolved, I will go to Girona, but not heartily.
"I would rather not join Girona. Not because I want to make it difficult for myself, but because I like to play in a team that is dominating. Not only to show myself, but also to develop myself. I have always had certain priorities in my career choices.
"Now it's first and foremost a club that plays at the top of the league. In addition, in a pleasant city and with good supporters, who create a lot of noise at home.
"The financial aspect comes in the last place. The problem of Girona is that the club has just been promoted to the Primera Division, and in a small city. That's not really what I'm looking for."