Crystal Palace boss Patrick Vieira: "I don't know if 2-0 is well deserved for Arsenal, both teams didn't really create a lot of chances.
"The two goals we conceded were poor. And then for us, when we had that good moments, the momentum, we created two really good chances to get back into the game and we didn't take them, and that was the frustration today.
"We knew how good this team were, we watched them play in pre-season and they play with a lot of confidence and quality in the team. You need to defend well as a team and we did it, especially better in the second half.
"At the same time, those chances we didn't take cost us the game - in a really important time in the game. The one from Eze in the second half, we expect him to put it in the back of the back of the net, because we were all over them. If you score that, with the fans behind, the game will be different."
Arsenal boss Mikel Arteta: "Coming out of this game with three points and with a really positive start, it is tough to come here.
"We had some really good moments, especially in the first half, where we probably should have scored another one or two.
"And I am really pleased as well because there are going to be moments here where the game becomes really physical, they are going to put you under pressure, and we managed to deal with that.
"The team came here to play the way we wanted to play - we were dominant, we were a threat, we were really lively and sharp from the beginning. Then when we felt under pressure we coped with that with resilience.
"I have had this feeling for the first few weeks since the boys started pre-season. They are ready, the look hungry, with that mentality that they really want to win.
"Clean sheet in this league is crucial to win football matches. When you do that you have big chances to win football matches."
Crystal Palace defender Joachim Andersen to Sky Sports: "We played better at the end of the first half and in the second half we were really good. We just need that killer instinct: we have to be aggressive to win games and we have to work on that. We spoke about being in their faces, being annoying, irritating them. We know we don’t like that. We played really well but didn’t get the reward."