Fulham manager Scott Parker speaking to Premier League productions: "Probably how I see the game before [is how I see it now] to be fair.
"We were playing a really organised team and the goals came at the wrong time for us.
Brighton manager Graham Potter: "Putting the ball in the net was missing. We created chances and were the dominant team. You can see that quite clearly.
"The scoreline affects it a bit because we were 1-0 down, but I was pleased.
Chelsea manager Frank Lampard told BBC Sport: "There is a lot of reactionary stuff about us because of expectation. After West Brom people wanted to react. I don't and even after today I won't react too much, we are still working.
Crystal Palace manager Roy Hodgson: "I think the rule is a nonsense. I can't understand how everyone in the game of football - the Premier League, referees, managers and coaches - have allowed this rule to come into operation.
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.
Crystal Palace boss Roy Hodgson: "It was always going to be a tough opening fixture for us, but I am really pleased with how we approached it.
"I have to take my hat off to our goalkeeper for making a fantastic save, but I am very happy to get off to a good start against a team like Southampton with such good quality.
Hodgson said: "An awful lot of things have not gone our way during this period of bad results but we have to face up to it and then in the summer find the players to reinforce us.
"The lack of strikers we have and lack of goalscorers - that has been a constant theme for the whole of the three seasons I've been at the club, so nothing changes.
Manchester United have "earned the right" to challenge for a top-four finish in the Premier League after a "fantastic" spell of post-lockdown form, says boss Ole Gunnar Solskjaer.
"No-one thought in January that we would be in with a shout for top four," he said.
It completed a miserable day for Hodgson's side, who have lost five of their six games since the Premier League resumed.
"Christian Benteke has missed a lot of football this season through injury and got himself fit to play," said Hodgson.
Lampard said as much himself when speaking to BBC Sport.
"There were moments in the game where our game-management wasn't great," said the Chelsea boss. "At 2-0 we can dominate that game and finish it.
"I thought we were in the game for a long time into the second half despite conceding that goal, which was a bad one to concede," said Hodgson.
"We got over that disappointment and got back into the game and looked like an equaliser might be on the cards.
Burnley boss Sean Dyche said he remains committed to the club after they boosted their hopes of qualifying for Europe with victory at Crystal Palace.
"In the 100 days from the start of lockdown to the end, the dynamic of the club has changed somewhat, so that has been interesting to compute and to make sense of.