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.
Tottenham manager Jose Mourinho: "During the game, nobody thought about it, even myself I didn't, but Arsenal had 48 hours more than us to rest, so it was hard. But it came from their hearts this effort, this battle.
Bournemouth boss Eddie Howe speaking to BBC Radio 5 Live: "It was a game of two halves today. A difficult first half. We found it difficult to get any kind of foothold and everything was the reverse in the second half.
Norwich midfielder Alex Tettey speaking to BT Sport: "It’s very hard for me to talk, that was a tough game for us. We came out trying to be positive but when we don’t do what we have to do on the pitch we are punished.
Watford boss Nigel Pearson insists "our job is not finished yet"
Asked afterwards if he felt safe, Pearson told BBC Match of the Day: "Anything can happen. We have to keep our focus now, and it is not about thinking the job is done - we have got three more games to make sure we win enough points ourselves.
Liverpool boss Jurgen Klopp, speaking to BBC Sport: "For moments it was Liverpool against Pope, he did really well, but we should have scored. We did everything right and he made saves but we should have scored more, that's on 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.
"I was pleased with everything tonight - the result and the levels we reached," Guardiola told Sky Sports afterwards. "We are now at a good level and are ready to play the last games of the Premier League and in the Champions League.
Manchester City completed 93.7% of their passes against Newcastle (787/840), the highest recorded figure in a Premier League game since full passing data is available (2003-04).
Speaking after the game, life-long City fan Doyle couldn't hide his delight at achieving a goal of his since childhood, explaining how he has been determined to make the most of his opportunity in first-team training.
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: "Last few games have been fantastic. It's a challenge when they lose team-mates. There's a resilience to them, you add in organisation and physical prowess, and they've got more talent than people mention.
Brighton manager Graham Potter speaking to Match of the Day: "Its not an ideal start and it's my responsibility - I asked them to play that way, the decision making could be better but they showed personality to claw back into the game.
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.