Wenger admitted the win gives them a "chance to go into the top four" but there could be more twists and turns to come, with Arsenal's chances of making the top four still out of their own hands as things stand.
Manchester United are bidding to get back to winning ways after the disappointment of their 2-0 loss to Arsenal last weekend in the Premier League. Honestly, I'm not enjoying that.
The 35-year-old, who will see his United contract expire this summer, said: "I'm personally desperate to get to the final and to try and win it".
'It's not like I played my first football match in England. So to have that record of winning so many matches and not losing in so many matches, is something that's not normal.
"Normal is win, lose, draw". Everything was completely different about Sunday's game at Emirates Stadium, and it summed up where both teams are at right now.
With Mourinho, it's always easy to fall back on everything he says being a trick, a mind game, but the United manager mostly sounded deflated and exhausted speaking to the media.
Second-half goals by Granit Xhaka and United alumnus Danny Welbeck earned Arsenal victory on Sunday as Wenger overcame Mourinho in a Premier League game for the first time in 13 attempts. "I liked very, very much the individual performances and I also liked them collectively", Mourinho said in his post-match press conference. They were walking the streets with their heads low. So finally today they sing, they wave their scarves.
"We had just one blip and I think it was a bit physical".
The victor of the Europa League earns a place in next season's Champions League, increasing its significance for a United side that has only played in Europe's top competition for one of the last three seasons.
"It was hard for me to manage the game because in the end the players I wanted to replace were players that in principle will start the game on Thursday".
The Portuguese boss, however, will still be without five players as Timothy Fosu-Mensah, Ashley Young, Marcos Rojo, Luke Shaw and Zlatan Ibrahimovic have all been ruled out for the rest of the season after picking up injuries in recent weeks. I can not demand more from players who don't play one minute of football in the past seven weeks.
Mourinho however said he is does not enjoy seeing the north Londoners fail to win big trophies.
"And because we go with everything on Thursday and we can not go with everything against Tottenham". And this is too much for us.
The England global has started just 12 Premier League games all season after slipping back down the pecking order due to injury and form.
Manchester United midfielder Michael Carrick is "desperate" to end the season with Europa League glory. "We're having a season where things have been a bit more hard but I'm convinced that in the coming years we can show another side".