West Brom boss Sam Allardyce, speaking to BBC Sport: "If anything disappointed me in the first half we didn't pass the ball like we did against Wolves. We didn't put West Ham under enough pressure but in the second half we did.
Burnley boss Sean Dyche said: "It's rare in the Premier League to go away from home and have as much possession as we did.
"There's a lot of things right about the team at the moment but we've got to find the margins.
Southampton assistant boss Richard Kitzbichler, speaking to BBC Match of the Day: "It was a little surprising for me to be on the sideline today. It can always happen in times like this and I think we coped with the situation.
West Ham manager David Moyes told BBC Sport: "We saw a poor West Ham in the first half but we also saw a good Brighton team in the first half. They made it difficult for us but the resilience of the players kept us going and a few changes helped us.
"It was a harsh scoreline but we were not good enough in our box and we weren't good enough in their box when we had the opportunities," Moyes said.
"Any small decisions did not go for us; the flow always went in Chelsea's favour tonight.
"You have a duty to be ready whenever you are called upon. Bruno Fernandes and Marcus Rashford came on and did well," Solskjaer told BBC Sport.
"The goals were exceptional. Greenwood is a great finisher.
West Ham boss David Moyes: "Our performance was not very good. We showed resilience to get the three points as Aston Villa made it really difficult for us.
"I don't want us to play badly, I want us to play well but the team have been excellent generally.
Sheffield United boss Chris Wilder, speaking to BBC Match of the Day: "It wasn't the system - it was players' confidence and decision-making at key times that decided the result. It's going to be that way when you have picked up one point from nine games.
Cottagers boss Scott Parker was not best pleased after the match, having seen his team fail to rescue a point having conceded a Tomas Soucek strike in the 91st minute.
"I'm disappointed and angry," Parker told Match of the Day.