The Gunners, who began Saturday at the top of the Premier League, suffered a sensational defeat at Anfield as a rampant home side scored four goals inside the opening 20 minutes.
Wenger's only consolation was a penalty from Mikel Arteta in the 69th minute but the game had already long gone thanks to a "poor" showing from his side, from whom he now demands mental strength.
|11/10||Arsenal are 11/10 with Betway to beat Manchester United|
"It's not about what people say; it's how we respond that matters. I can completely understand that people will, of course, raise questions but the only way to answer that is on Wednesday night [against Manchester United].
"It's always what you make of defeats that decides your future and we have a lot of answers to find.
"Congratulations to Liverpool," he added, "they were the better team and we were very poor.
"We conceded two early goals on set-pieces and then you're in a position when you've always [got] to come out.
"Only our fans were good for 90 minutes, that's all.
"We are, of course, very disappointed but, as well, [we will] not lose our confidence and our belief that we can still do it [win the league]."