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A stunning late free-kick from Dominik Szoboszlai earned Liverpool all three points, while also handing Arsenal an early setback in the Premier League title race.And Arsenal's performance has come in for criticism, with Scholes claiming they are "not quite ready" to win the league and questioning whether Arteta is the manager "capable of taking them to the next level".
Speaking on The Overlap Fan Debate, brought to you by Sky Bet, Scholes said: " Mikel Arteta has turned Arsenal around.
It was a great chance to play your new players and make a statement.
"When I first saw the Arsenal team against Liverpool, I thought that it wasn't going to be a team to go to Anfield and blow them away – they couldn't create chances.
They just signed Eberechi Eze – brilliant footballer – creative, Martin Ødegaard – the most creative player they've got.
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"They bring in a centre-forward [Viktor Gyökeres] but then they don't play Ødegaard.
I remember I had a go at Arsenal last year when they went to Manchester City and celebrated a draw, but I thought going to Anfield this year and getting a draw would have been a good result.
"Once Liverpool scored, it's very hard to switch the mentality of going for a point then suddenly needing to create chances and going after them.
They just couldn't do it."
And Carragher agreed with Scholes' assessment, claiming that Arsenal were playing with "their handbrake on" against Liverpool.
"I feel like that pressure that was on Arsenal at Liverpool is going to be there every week," Carragher said.
Mikel Arteta's side have suffered an early setback in the Premier League title race(Image: Getty Images)
"It feels like it's now or never for Mikel Arteta.