Manchester City boss Pep Guardiola: "After the international break, to play here at Selhurst Park and create a lot of chances was good. We played well but didn't score too many - but we didn't concede. We conceded chances at the end but Ederson made two incredible saves. It's three points and we move forward.
"We enjoyed the second goal - it was nice. But in the Premier League we have to score the third and fourth because it was difficult in the end with the pressure.
Crystal Palace boss Roy Hodgson: "They were two very good goals, they had had a lot of possession and they had been pushing us back. I am pleased and proud of the way the players did not drop their heads. I take a lot of comfort from that.
"We are not in a bad place and we are not in a much worse place after today's game. We could have been if we had collapsed. We have still got our hat pegged nicely in place and we have to accept sometimes we will come across a team as good as they were today.
On goalkeeper Wayne Hennessey's performance: "He was excellent, absolutely excellent. I was pleased because he's had to wait for his chance because Vicente Guaita has been so good. He has been working hard in the background to show us he's still a good goalkeeper and he showed us that today."