Liverpool boss Jurgen Klopp to BBC Sport: "I'm completely happy with our performance. We played good football, we were flexible - we mixed it up.
"We reacted quickly to their goal and scored a top goal.
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.
There are decisions, then, for Fulham and Parker on whether to stick with the approach that got them promoted.
"The big lesson today is to understand the fine margins in this division mean you can get punished," he told BBC Match of the Day.
Watford interim head coach Hayden Mullins: "We're really disappointed with the start we made. To concede a penalty in the opening minute was always going to make things tough. I'm disappointed with some of the goals we gave away.
"We had seen Watford play earlier and get beat. We knew we had to get a win to even catch them up," Smith told BBC Sport. "By getting the win it puts our fate in our own hands.
"There was a lot of character and a lot of courage from the players.
"We have to learn from it, 100 per cent. We've had sloppy moments before and not been punished for it but this is good because we have to learn from it. Credit to Arsenal for being there and using it," Klopp said.
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.
Arsenal boss Mikel Arteta, speaking to BBC Sport: "We lost two points. I think we deserved to win the game. But when you have the chances you have to kill them. Three- or four-nil and the game is over.
Wolves boos Nuno Espirito Santo told BBC Sport: We needed more urgency in some moments. On and off the ball we were a little but unbalanced and the urgency to chase a result was not there.
“Yes, I'm very happy with the performance,” Arteta told Arsenal Digital. “For the first 42 or 43 minutes, we did everything we talked about, we were really aggressive in our high press.
"I asked the players to be together, to defend each other and to play for 90 minutes and that is what they have done today," said Arteta.
"We gave the ball away very easily in the second half.
Brighton match-winner Neal Maupay after they criticised him for his role in a serious injury to keeper Bernd Leno :
"Some of their players need to learn what is humility," said Maupay.
Pep Guardiola: "In the beginning, there was a lot of energy, everyone wanted the ball. It was important to get the first goal before half-time and then after that with the penalty and the sending off it was a completely different situation.