Aston Villa boss Dean Smith: "It's tough when you come up against world-class teams.
"There's a professional pride as a coach and a team, and the third goal summed it up - they had about 20 passes without us laying a glove on them.
"I've been to see the referee and he has been honest about it. We make mistakes and I believe he made one too," Wilder told BBC Sport.
"It happened that quick and I thought he could have been helped by his colleagues a little bit.
"When the season started, no-one expected us to be there," said Rodgers.
"There was a flash-up yesterday [on TV] about the title race and the top four. There were six players on the screen and not one of ours were there.
Manchester City manager Pep Guardiola: "We made an incredible result but the way we played against Manchester United [a 2-1 defeat last weekend] was better in many, many things.
"I know we are judged on the result but I have a duty to judge the performance, not just the result.
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.