"Everything went well and I will soon start rehabilitation," Agüero writes on Twitter.
It's still unclear when the 32-year-old - who is ranked third in the shooting league on 16 hits - is expected to be back on the field.
Manchester City are in second place in the Premier League, 20 points behind Liverpool who can become champion in the jacket on Thursday. In that case, the team is required to beat Crystal Palace on Wednesday while City will not win away against Chelsea on Thursday.