The second leg is at Old Trafford on Thursday and Mourinho has suggested the European competition, which offers a place in the Champions League for the victor, is his priority for the remainder of the season.
"That's what he's waiting for".
Comparing the match to his own playing days, Neville added: "When I played for Manchester United, Arsenal was always our biggest game of the season - the build-up was electric and I felt as if I was going into battle against our greatest rivals". I didn't give them the match, I tried to win, but we lost.
Wenger celebrated his first Premier League win over Mourinho at the 13th attempt after goals from Granit Xhaka and Danny Welbeck kept Arsenal's Champions League qualification hopes alive.
All round a good win against a Manchester United side who clearly have one eye on the Europa League.
He also stressed how the Europa League presents United with the opportunity to win two European trophies. Just that. Apart from that, I can not demand more from players that didn't play one minute of football in the last seven weeks.
Despite being outclassed and outfought in the north London derby against Tottenham last week, Wenger made a decision to stick with the 3-4-3 formation for Sunday's game at the Emirates Stadium and it was a success as it gave the French manager his first ever league win over Jose Mourinho.
There was no way back for United and, for once in a troubled season, the Arsenal fans could relax and forget the will he-won't he concerns about whether manager Arsene Wenger will renew his contract. I think he did an incredible job and I think Alexis [Sanchez] knows his name because the kid really played very well."It was hard for me to manage the game because the players that I wanted to replace are the players that, in principle, start the game on Thursday". "It's the first time I see them smile, enjoy".
"You become cleverer, and since my (last) red card, I think things have improved".
We saw so many excitements today in the English Premier League. So finally today, they sing.
Mourinho, however, insisted that he was not thinking about the Champions League just yet, with two games standing between them and a return to Europe's elite.