Aston Villa manager Dean Smith talking to BBC MOTD: "First half we got dominated physically. I can take the second half. I don't expect us to get dominated physically though. You can't give teams in the Premier League a head start.
Arsenal boss Mikel Arteta to BBC MOTD: "In the first half we struggled to dominate the game. They proposed a really aggressive game, we struggled to break the press and that caused us problems because there was a lot of transitions and one-on-one situations that we could not deal with.
Arsenal manager Mikel Arteta, speaking to BBC Match of the Day: “It was a hard-fought victory at a really tough place. You have to be ready for a fight. In the first half we had some really good periods when we were really dominant and should have scored more goals.
Arsenal boss Mikel Arteta told BBC Sport: “The first goal was the most disappointing, we were in control of the game, we took the game exactly where we wanted to.
"The first action they have, we fail to stop the cross and Gundogan has a free header in the middle of goal.
Brentford boss Thomas Frank to BBC Sport: "I think we top-performed but there must be a level above that. The fans were absolutely amazing. That was more than a 10/10 performance in terms of atmosphere.
Arsenal boss Mikel Arteta: "It wasn't in our hands. We tried to do our best, but it was not enough.
"This club deserves trophies and the Champions League and we haven't managed to do that in very challenging circumstances.
"It has been exceptionally good," Hodgson told BBC Sport. "I never really envisaged it. From being on the terraces at the age of five to finish managing the team at the age of 73 - it is something of a fairytale or like Roy of the Rovers.
Arsenal boss Mikel Arteta, speaking to Sky Sports: "We started really well, controlling the game and creating chances, scoring a goal that was disallowed, in a very disappointing way, we kept going and didn't allow any shots on target and suddenly we concede a penalty and the game changes completely.