While the victory offers at least temporary respite for Wenger and Arsenal, a fifth consecutive defeat for West Ham leaves the club just five points above the relegation zone and its manager Slaven Bilic facing further speculation over his future. In their latest protest, fans stayed away from the Emirates Stadium until the 13th minute - 13 signifying the number of years since they last won the league.
Arsenal's win against West Ham moved them back to 5th position with four points adrift 4th placed Manchester City as they face Crystal Palace at the Selhurst Park on Monday to continue their Top 4 struggle.
Player ratingsArsenal: Emiliano Martinez (out of 10) 7, Hector Bellerin 6, Gabriel 7, Shkodran Mustafi 6, Nacho Monreal 7, Granit Xhaka 8, Mohamed Elneny 7, Theo Walcott 7, Mesut Ozil 8, Danny Welbeck 6, Alexis Sanchez 7.
Asked if the team are still playing for the manager, Wenger replied: "I dont know, they play first for the club and for themselves, and of course I am part of the club as well".
The Gunners had only won one and drawn another in their past six Premier League games, to leave their hopes of Champions League qualification - having reached the last 17 tournaments - in real jeopardy.
"We come out of a hard period and our confidence goes quickly and comes back slowly", Arsenal manager Arsene Wenger told the BBC.
The goals scored brought the total for the season to 101 in all competitions, the first Premier League side to break that barrier this campaign.
Goalkeeper: We have something of a goalkeeper crisis to deal with as the Mirror reported earlier this evening that David Ospina is set to miss out tomorrow after suffering a back problem against Man City. We had quite a strong bench tonight.
"We stopped their best players being with a lot of space, one against one".
Bilic won't lose his job over this game, but a point here will make the Swansea match a better shot. Three points at this stage of the season are massive.
Will West Ham ever win again?
"We can't go a goal behind and think the game is over".
"We know deep down that we have to forget about that as quickly as we can and get a win on Saturday".