Arsenal manager Mikel Arteta, speaking to BBC Match of the Day: "The most important thing is to find a way to win. That is what the big clubs do.
"It was difficult but credit to West Ham, they were really good, executed their game plan and created issues for us, but we gave them some of their chances.
On Alexandre Lacazette's goal: "The reaction I got from the bench said straight away it was a goal, but the longer it took I thought 'oh no, not again'. So I am happy VAR worked today.
"The competition for places is really hard, with both Alex and Eddie Nketiah. I really liked Alex's attitude. I could see in his face his intention to go out and win for the team. That's the right attitude and I'm very pleased for him."
West Ham manager David Moyes speaking to BBC Match of the Day: "We have done really well but the result was not good. The opportunities were there to win and we didn't take them.
"I felt before the game that we could score here. Our players were showing in their form that they could score, so I am disappointed. I have told my players that they played very well; I couldn't fault them. But what we need is to show our quality at the right time to make a difference.
"I don't want us to be a hard luck story. I told my players I players think they played well but let's get rid of that tag. We can't let that happen again. We have got to be more ruthless. At this stage, I would rather we had not played well and won."
On VAR decision: "We have got done by a goal from VAR. Maybe next year that goal won't count. But we have got one of the best referees in Europe and two excellent linesmen officiating this game. I would have trusted their decision. I don't think they needed to go to someone else."