Aston Villa boss Dean Smith to BBC Sport: "A very good start, to get three points and a clean sheet you can't ask for more. I thought we started the game the better and the game changes with the sending-off.
Wolves manager Nuno Espirito Santo to Sky Sports: "The first half we didn't start very well. Manchester City moved the ball well and created a lot of problems for us. We conceded the penalty and from then on it become much harder.
Sunday's victory over Burnley gave Rodgers his 100th win as a Premier League manager in his 210th game - Sir Alex Ferguson, Sir Kenny Dalglish and Kevin Keegan the only British managers to have reached the landmark in fewer matches.
Southampton boss Ralph Hasenhuttl to BBC Sport: "I think we conceded a stupid goal shortly before half-time. Then we had a big chance for 2-1.
"On the counter-attack it's 1-2. From that our heads are going down and a team with this quality kills you immediately.
Arsenal boss Mikel Arteta praised his side's mental strength after Eddie Nketiah's late winner maintained their 100% start to the season against West Ham.
"What I like is the approach the boys had in the last 25 minutes where I could see they were a bit down and then they lift it," Arteta said.
Crystal Palace manager Roy Hodgson speaking to BBC Match of the Day: "I thought that both defensively and offensively we were good.
"We made certain and kept them playing in front of us and they could not profit from those spaces they are skilful enough to find.
Everton manager Carlo Ancelotti to BBC Sport: "The game was not so easy. We had difficulties in the first half. West Brom were better than us. We had a good reaction. With the advantage of one more player we were more in control.
Nuno signed a new three-year on Sunday, keeping him at the club until 2023.
"It has been an amazing three seasons," he said.
"I think we create something really special - the identity, the core of the squad, the bonds between us, this is how we operate but we have to stay humble.
'What a game. What an opponent'
Klopp said he had to catch his breath after a stunning match which was played at a near-empty Anfield because of the coronavirus pandemic.
"What a game, what an opponent, what a performance from both teams.
West Ham boss David Moyes speaking to BBC MOTD: "I think you are always trying to improve the squad but that wasn't the reason we lost tonight. We have to analyse that.
"We had a good pre-season, we were feeling good after finishing the season well so we were disappointed with tonight.