Fulham boss Scott Parker told Match of the Day: "I thought in the second half we were exceptional. In the first half, we came with a bit of plan, we needed to tinker things at half-time and the players responded very well.
Sheffield United manager Chris Wilder told BBC Sport: "They are a decent team, a high energy, high tempo side and I thought we matched that. It's all about creating chances and putting them in the back of the net.
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.
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.
Southampton manager Ralph Hasenhuttl told BBC Sport: "I saw a team in the second half that is really showing how every part of their game is developing. We had strong offensive moments, and solutions against these teams is not easy, but we deserved this win today.
Sheffield United boss Chris Wilder praised his players for "massively overachieving" :
"The club and the players have overachieved massively," Wilder told BBC Sport. "To have had any talk of jumping into the top six means the players deserve an enormous amount of credit.
Sheffield United boss Chris Wilder: "We were way off of it. We have taken some enormous steps forward this season, but the goalkeeper kept us in the game. We never deserved anything form the game - off it from the first minute to the 90th, no excuse from us.
Chelsea manager Frank Lampard: "They were better than us physically, in the mind and with the ball. So you lose the game. They were stronger than us. You feel and hear every noise and all I could hear was Sheffield United voices.
Sheffield United boss Chris Wilder to BBC Sport: "I really enjoyed watching my team. Right the way through, it was a great effort.
"We were stretched in terms of numbers, but it was a committed performance and one that, ability wise, had the hallmarks of a proper Sheffield United display.
Burnley boss Sean Dyche: "I'm certainly not disappointed. We are maximum stretch at the moment with the squad. I thought we were very competitive in awkward conditions and made chances that should really have got the game done.
Manchester United manager Ole Gunnar Solskjaer said: "I've never said fourth is our aim, we want to go up to third but we have to focus on each game as it comes and there's two cups for us there as well.