Manchester United boss Ole Gunnar Solskjaer told BBC Sport: "It's always difficult to play Brighton. We have had good results and we've had to earn them the hard way - we managed to find a way in the second half.
Newcastle manager Steve Bruce, speaking to BBC Match of the Day: “It’s difficult to digest at the moment. We simply weren’t anywhere near good enough on the night. Fair play to Brighton, they were better in every department.
Brighton manager Graham Potter told BBC Sport: "It feels sore. Overall our performance - certainly the first half - was good. We were close to getting a second.
"In the second half, Leicester responded and we didn't play as well.
West Brom boss Sam Allardyce, speaking to the BBC's Match of the Day: "I am just laughing about how bizarre this game was. Obviously, the most important thing for us was a clean sheet and a corner we converted very well.
Brighton manager Graham Potter speaking to BBC Match of the Day: "It's sore, I'm bitterly disappointed with the result because I thought we were the team pushing all the way, trying to get the winner ourselves.
Brighton boss Graham Potter, speaking to Sky Sports: "A hard earned point. A tough game against a good opponent. They pushed us all the way in the second half and I can't say we deserved more than a point.
"It is a big, big win for us, a much-needed win," said Maupay, who returned to the Seagulls side after starting on the bench against City on Wednesday.
"We have got quality we know that, but we need to keep pushing on and get more wins.
Manchester City manager Pep Guardiola told BBC Sport: "We knew how tough it would be. Brighton had a good mentality to play.
"We had a really good first half and had chances. After we missed a really clear chance in the second half, they were better.
Brighton head coach Graham Potter:
"It was tough for us at half-time of course because of the scoreline and how the half went.
"You're looking for a response, you're looking for character, and I thought we got it.
"In this period, we know how much we needed the wins," Arteta said.
"We had a really tough week and it wasn't that much about the performance, it was about the result.
"You need the results to start confidence and now with two wins, I think everyone is in a much better mood.
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.
Brighton manager Graham Potter, talking to Match of the Day: "We didn't make the advantage count enough. We started the game well and forced a tactical change because we dominated, but the red card changes the game and we've got to make sure we don't get caught.
Brighton boss Graham Potter, speaking about goalkeeper Robert Sanchez after he made a number of excellent saves: "I made the decision to go with Rob, he has some incredible attributes we wanted to use.