Manchester City just bough in January Marmoush, then they bought Cherky, without forgetting Doku and Foden, why would they need Rodrygo?
According to reports, they would only go for Rodrygo if they sell Savinho to Tottenham, right now City's hierarchy is blocking that move, but we would see what will happen in the remaining days of the transfer window.
It is one thing for City to be interested in Rodrygo, it is another thing for the player to be open to the move, he loves Real Madrid and he might want to stay and fight for his position in the team. He started the last game for Real Madrid and maybe that is the start of good things for him again at the club.
I read that Savinho had some problems with Guardiola so yes, he may leave, but how much money could Tottenham spend for him? Because I'm pretty sure that Real Madrid would sell Rodrygo only for 100+ million euros offers, and he's not worth that amount of money. He never managed to become a starter in 4 years, and it looks like that Xabi Alonso wants go give a lot of play time to Arda Guler and Mastantuono so I don't know how much Rodrygo will play this season.