The England striker had scored against his former club before, in an FA Cup win at Old Trafford, and helped Wenger claim his first triumph against adversary Jose Mourinho in 16 competitive fixtures.
Carrick, 35, tasted European success as part of United's triumphant Champions League side in 2008 and is now targeting a repeat in the Europa League.
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.
Jose Mourinho has hinted for quite a few weeks now that he would be playing his best players in the Europa League and holding them back from the Premier League.
Tuanzebe admitted that Mourinho "gave me on task to stay with Alexis" which is not an easy task. "I left Highbury and they were crying, I left The Emirates and they were crying".
Mourinho was also annoyed by Wenger and accused him of trying to influence fourth official Craig Pawson during the game, although the bitter managerial rivals shook hands afterwards. I don't think the Old Trafford atmosphere is consistent.
"I leave Highbury they were crying". You think I enjoy a big club like Arsenal not winning big trophies?
They finish their league season with two home games, against Sunderland and Everton, in the final week of the campaign and Xhaka believes that victories in those four games will be enough to overhaul the teams above them and to finish in the top four. They were walking the streets with heads low. "But we didn't get the win today, so it's a bit of a disappointment but I am chuffed. We need everybody. We have such a small squad in this moment and these guys have a fantastic answer", he added. No matter what, we are giving everything we can.
"So finally today they sing, they (swing) the scarves - it's nice for them". We go with everything on Thursday, and when you go with everything on Thursday you can't go with everything against Tottenham and even when you go with everything against Tottenham it is hard.
"I think [Wayne] Rooney, [Michael] Carrick, [Ashley] Young are this group of English boys with a long time in the club [to have won titles] plus Mata [as part of another club] but most have not done it before".