The result sees City reach the round of 16, with Bernardo pleased to keep driving the team on.
“I’m enjoying this season," said Bernardo.
“I’m trying to give it all for the club that gave me this opportunity to be here for so long and to achieve what I achieved.
“Until the end I’m going to be here fighting for the club and for the fans.”
Rayan Cherki and Erling Haaland struck for the 2-0 win, with the former also saying: “I’m very proud because Galatasaray are a very good team.
“We played a good game and we won, that is very important for us. All the players love when the manager does this system. Because we have a lot of players inside. For us it is very good.
“We don’t have frustration because one season is very long. We have time to win all the games. Now we take a lot of time to reset.”