Leicester City manager Brendan Rodgers, speaking to Match of the Day: "Football can be harsh. We didn't think we deserved that [to lose] at all. First half we had to defend well, we didn't keep the ball well at all.
Crystal Palace caretaker manager Paddy McCarthy, speaking to Sky Sports: "Lots of positives to take from the game, we worked their goalkeeper on an number of occasions. We started well and created the two clear cut chances at the start of the game.
Manchester City manager Pep Guardiola speaking to Sky Sports: "My experience is that every time we come here it has been very tough. Always I have the feeling when we come here, we play really good thinking how good they are.
Everton boss Frank Lampard, speaking to Match of the Day, says: "I’m absolutely delighted. It was everything we needed today. We’ve been on a tough run of games which we have competed in but today had everything.
Aston Villa manager Steven Gerrard:
"We started extremely well. We got ourselves in front and scored a good goal, but we never kept the lead for long enough. We allowed Crystal Palace back into the game too soon.
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.
Crystal Palace manager Patrick Vieira : "It was a good win. I don't think it was our best performance but it was important to win and I'm happy with that result.
"To win by more you need to create chances.
Crystal Palace manager Patrick Vieira speaks after defeat at Leicester City: "The damage was done in the first half with the way we entered into the game.
"We gave ourselves too much to climb in the second half.
Arsenal boss Mikel Arteta: "From the beginning we were not at the races. When you come here you have to compete. you have to win duels and second balls and be aggressive and we were none of those and top of that we were really poor on the ball.