Manchester United manager Ole Gunnar Solskjaer speaking to BBC Match of the Day: "We will remember this one - we look so dangerous when we get he ball and go forward against arguably the best team in the world.
"Sergio is a legend of football. I have to score when I play because Sergio scores every time," Jesus said after the game.
Guardiola told BBC Sport: "We need him. I am so glad for him because he is an incredible fighter.
Newcastle manager Steve Bruce told: "It took them a wonder goal for all the possession they had. We produced a bit of magic ourselves too, but of course, we had to defend and I think the players were magnificent in their work.
"Chelsea are an incredible team," Guardiola told BBC Sport after the game. "We knew it, but we beat them.
"It was a typical high-level game. Our back four played so good today. In the most difficult period of the game, we scored on the counter.
Liverpool manager Jurgen Klopp, speaking on BBC 5 Live: "What a game. If you want to win against City you have to do something special and we had to be intense.
"When City started to control it more in the last 15 minutes, it was tense, but then you saw the quality and what the boys can do it.
Manchester City boss Pep Guardiola: "After the international break, to play here at Selhurst Park and create a lot of chances was good. We played well but didn't score too many - but we didn't concede.
"We were not at our best. We had chances to score but it was a bad day and we lost the game.
"We did not make good process, we had problems in that sense. We are a team that plays a specific way but it is a bad day, that happens sometimes.
Manchester City had to work hard to see off a spirited Everton side and stay five points behind Premier League leaders Liverpool.
Everton boss Marco Silva: "The first 20 minutes our performance wasn't good enough but after their goal we responded strong.
Norwich City produced a magnificent all-round display to inflict Manchester City's first Premier League defeat since January at an ecstatic Carrow Road.
Norwich City manager Daniel Farke, speaking to BBC Sport: "Of course it is a special day for us and for the club, against one of the best teams in the world and when we have so many injuries.
Sergio Aguero was labelled a "special talent" by Manchester City boss Pep Guardiola after the Argentine hit two goals against Brighton, continuing his record of scoring in all four of his team's Premier League games this season
"Of course we need his goals, everybody knows it.