According to the Mirror's David McDonnell, the Belgian said of the possibility of his departure:
"That's not even a debate. If you're fit, you have many options and a lot of clubs. If you're not fit, you don't have many opportunities and not many clubs.
"If I stay fit, I'll want to play football at City. And if I'm not fit, I won't have other options. I don't know if I could muster the same motivation elsewhere.
"It may seem that I'm high maintenance, but I'm a good professional and I work so hard on my return. The longer I'm available, the more chance I'll get to play more matches."
The centre-back, who will be 32 in April, has just under 18 months remaining on his contract at the Etihad Stadium.
Kompany has been a stalwart for the Sky Blues since he arrived in 2008, and he has been present for all the club's recent success, which is comprised of two Premier League titles—likely soon to be three—two League Cup wins and the FA Cup.
However, he has become increasingly injury-prone in recent years, and it has been difficult to rely on him to stay fit.
Injuries restricted him to just 22 and 15 appearances over the previous two seasons, while this year he has made just 11 thus far.
The defender recently returned to action and is feeling positive at the moment, though, per the Press Association's Andy Hampson:
Football writer Michael Cox was unimpressed with his showing against Burnley in Saturday's 1-1 draw, though, and noted how far Kompany has fallen from his peak:
Kompany was unquestionably a tremendous player, but he's no longer capable of operating at the level City require on a consistent basis.
The arrival of Aymeric Laporte in January knocked Kompany further down the pecking order at the Etihad, and between him, John Stones and Nicolas Otamendi, City have the basis of a strong back line to last them for years to come.
Given Kompany has relatively little to offer on the pitch at this point, it could make sense to try to move him on this summer to clear him off the wage bill.
There could be some merit in keeping him around, though. Kompany has been a loyal servant to the club for a decade and a leader to those around him; that quality and experience could make him a valuable presence in the dressing room, even if he isn't likely to play much next season.