West Ham manager Manuel Pellegrini speaking to MOTD: "In football, you must score. We dominated the game and tried to create options to score.
"We had two or three chances and must decide the game by scoring.
Leicester City equalled the 24-year-old record for the biggest ever Premier League victory as 10-man Southampton were dismantled at a rainswept St Mary's.
The victory sees Brendan Rodgers' side climb into second place, leapfrogging Manchester City and moving five points behind leaders Liverpool.
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.
Southampton manager Ralph Hasenhuttl said his side knew it was "time to show up" after they carved out a point against Wolves.
"You could feel it in the dressing room. Everyone knew it was time to show up," said Hasenhuttl.
Leicester manager Brendan Rodgers: "We were keen to make it a celebration. The supporters were incredible. We needed to tap into that emotion, we didn't in the first half but we were much more aggressive after half-time.
Chelsea manager Frank Lampard, speaking to Match of the Day: "The second half was the most pleasing thing. It was a good test for us today. We changed things a little in the second half and we showed a little more flexibility and creativity.
"It was a captain's performance," said Villa manager Dean Smith.
"For the other side of the game people don't see, Jack ran 60 yards to back dispossess players [at times]. He was integral to everything, he got the goal and provided an assist.
Everton manager Marco Silva insisted "pressure is a privilege" after a 2-0 win over West Ham United dampened speculation about his Goodison Park future.
"Pressure has to be a pleasure, a privilege for us," he said.
Newcastle boss Bruce told BBC Sport: "I think getting to play with Sean was unbelievable. We used to kick each other in the garden growing up so to be on the same team, for our hometown club, and to win against Manchester United, who are a good side, is a bit surreal.
"We started well but to be honest we are far away from our best, and against the best opponents you only have the chance to take something if you play your best.
"We were too slow in our minds, too slow on the ball.
"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.
Bournemouth boss Eddie Howe, speaking to BBC Sport: "I'm disappointed with the first half, we were a little bit too passive and didn't dominate our style on them.
"We were second best for long periods.
West Ham manager Manuel Pellegrini, speaking to BBC Match of the Day: "It's hard to accept. We were a bit unlucky with the decisions.
"We scored a goal and took the lead but we had other chances, especially in the first half.