Pep Guardiola praised Raheem Sterling's character after the England forward ended a difficult week with a goalscoring display in the victory over Everton.
Sterling has been at the centre of a big debate about racism in football in recent days after being subjected to alleged discriminatory abuse during City's defeat at Chelsea last weekend.
The issue did not appear to affect the 24-year-old's game as he played 90 minutes in the midweek Champions League win over Hoffenheim and was again in good touch against the Merseysiders.
With a tough schedule ahead, manager Guardiola did opt to rotate Sterling but he came off the bench to score City's third as they wrapped up a 3-1 Premier League success at the Etihad Stadium.
"My feeling is he has handled many situations in the last year," said Guardiola.
"There are many rumours that people have been talking about, and not nice things about him or his family or, in this case, the colour of his skin.
"And that is why I admire him. I admire that it is not easy for him but he is calm, he is happy playing football and he is beloved.
"He is incredible for all the staff, locker room and his team-mates. It is good. Hopefully we can improve on that and move forward."
Sterling was sent on in immediate response to Dominic Calvert-Lewin pulling a goal back for Everton in the 65th minute after Gabriel Jesus had scored twice for City.
Within a minute Sterling had restored City's two-goal advantage after combining nicely with Fernandinho and confidently heading home the Brazilian's return cross.
It was his 10th City goal of what has been a fine campaign to date, which saw him named this week as the Premier League's Player of the Month for November.
"When Raheem has no time to think in front of the goalkeeper, it is always a goal," said Guardiola, in response to past criticism of Sterling's finishing.
"The problem is when he has to think and then he doesn't score a goal.
"The cross was incredible from Fernandinho. It was good finishing, a good headed goal when we are not the tallest team, not the most massive team in the world."
