I also have a little doubt regarding the Toni Kroos transfer rumors, from the player side there has been no statement whatsoever. However, judging from an opportunity perspective, Man City could offer a short-term contract for a player who will be 34 at the end of the season, and a commensurate salary. But the consideration is that Kroos may not get more playing time in Pep Guardiola main squad, something he expects from Ancelotti in the Madrid squad. Man City midfield competition is also very competitive, even though in terms of experience Kroos is superior to other players, but age no longer supports him staying in the same league, let alone playing in a league that is known to be very competitive namely the EPL.
If he is only used as a cover player in the Man City squad, I think Kroos would be better off staying in Madrid, because it's the same for him. Because we know that SPL has a better and more tempting offer, an opportunity that might also come to him in the next transfer market.
I believe that he would definitely do wonders there, he is a good player and played at high level for a long time and he is still relatively young, not too much but he could do like 1 or 2 more years, if he goes there at the half winter break, then they could get about 2.5 seasons out of him if you ask me, maybe even more. That wouldn't be a starting eleven type of player, because they do not need one right now, but they could definitely use him as a bench player who would play instead of anyone at any midfield position.
Like right now how KDB is injured and not playing, Kroos would have been playing there and he is a UCL winner level player as well so it wouldn't be a bad deal for them neither and should consider it.