Every team is looking to strengthen their squad a bit but i think Manchester City really needs to add more players and the likes of Wirtz is what they need because they lack creativity in their midfield and it gets worse when De Bruyne is not around so bringing in Wirtz could make a difference but they have competition from Real Madrid which is a team that everyone wants to play in so it will not be easy for Manchester City to sign Wirtz. I am sure some teams might also join the race soon.
Well, Manchester city have been not in good form due to the lack of the their crucial players. Their crucial players like Rodri have not been able to play due to injury. So I agree with you that Manchester city needs to sign something new I mean Wirtz. He is such a wonderful player his quality is impeccable. Probably he can play with pep boys. Despit Wirtz has not only attracted Manchester City to adopt him but has also made Real Madrid and Bayern Munich eager to sign him. Apart from Manchester, Madrid and Bayern Munich are also very determined to sign Wirtz, even Bayern Munich has made a bid of 100€ million. Now let's see who takes the initiative to sign Wirtz.
But anyway you are right that Manchester City can give their team a boost by signing Wirtz. Because Manchester City now needs new players. Kevin De Bruney may also could leave the club for next season and Rodri is also injured. So signing new players in winter can give a lot of boost.