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.
Spurs boss Jose Mourinho, speaking to BBC Sport: "It is easy for me to praise West Ham. They were losing 3-0 for the majority of the game. The game was controlled, they didn't have chances and then late in the game, they score and increased their belief.
Leicester boss Brendan Rodgers to BBC Sport: "Everything was missing - it was poor. We started the season well and scored goals but we lacked aggression in our defending and West Ham have shown they are a good side.
Arsenal boss Mikel Arteta praised his side's mental strength after Eddie Nketiah's late winner maintained their 100% start to the season against West Ham.
"What I like is the approach the boys had in the last 25 minutes where I could see they were a bit down and then they lift it," Arteta said.
West Ham boss David Moyes speaking to BBC MOTD: "I think you are always trying to improve the squad but that wasn't the reason we lost tonight. We have to analyse that.
"We had a good pre-season, we were feeling good after finishing the season well so we were disappointed with tonight.
Aston Villa boss Dean Smith: "When Jack scores you think 'That's it we're safe' but a deflection made it a little bit nervous, but we saw it out well.
"I'm immensely proud and I've said that in the dressing room.
Ole Gunnar Solskjaer was pleased with the way his side responded, as Manchester United battled back to secure a valuable point against West Ham at Old Trafford:
“Going into half-time, we knew that’s not the result we wanted.
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.
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.