When asked by Sky Sports about the circumstances around his departure, Wenger said: "I will come out on that a bit later, but I think at the moment it's important to focus on what matters to people who love Arsenal, and that means the results of the next games".
However, he has been under increasing pressure to step down from the club's fans for several seasons as Arsenal hasn't won the Premier League for 14 years and risks missing out on Champions League qualification for the second consecutive season.
Former Barcelona boss Luis Enrique would be the "perfect fit" to replace Arsene Wenger at the Emirates Stadium, according to an Arsenal legend.
"So again, if he's happy with the decision, I'm really happy and I hope he doesn't retire from football".
Defender Nacho Monreal put Arsenal ahead six minutes into the second half when he fired low past Joe Hart at a corner to bring the match to life after a tiresome first half.
Marko Arnautovic equalised 13 minutes later when substitute midfielder Manuel Lanzini fed him on the left and the striker shot past the diving David Ospina into the bottom far corner. West Ham now sits in 14th place in the table with just 35 points from 33 games.
In his early years, Wenger gave as good as he got in his rivalry with Alex Ferguson and the Scotman's dominant Red Devils. My target was always to do that and give continuity to the guy who comes in after me so we can be better in the next 20 years.
"We're not thinking about who's coming in next - it's about doing it for him. Winning the Europa League would be a ideal send-off for him", he told Sky Sports. The first leg of that fixture is on Thursday at the Emirates. We can say that sport is about winning and losing. "But it doesn't look too good".
Also Sunday, Stoke drew 1-1 at home to Burnley in the Premier League and is now four points from safety with three games remaining.