The Spaniard, whose approach was questioned following the loss, insisted his team had matched the Premier League leaders for much of the contest before being undone by Dominik Szoboszlai's late free kick.
The result marked Arsenal's first defeat of the season and brought an end to their 22-game unbeaten run against the division's "Big Six."
Arteta was forced into difficult selection calls, with Bukayo Saka, Kai Havertz and Ben White all unavailable, while captain Martin Ødegaard was deemed unready as he recovers from a shoulder injury.
Instead, Arteta handed Mikel Merino a start in midfield, fresh from his hat-trick for Spain against Turkey in World Cup qualifiers, rather than debuting new signing Eberechi Eze.
Arsenal produced moments of promise, outshooting Liverpool and restricting the league's most potent attack to just 16 touches in the penalty area, while registering 29 themselves. Their compact shape also drew an uncharacteristically cautious display from Arne Slot's side.
Despite the stats, many remain sceptical about the Gunners' mindset in big games.
"I heard some comments about how we played with three midfielders [at Anfield], defensive midfielders I think was the narrative," said Arteta.
"Mikel [Merino] has to play in an attacking midfielder. I don't know when was the last attacking midfielder to score three goals.
"So it's very interesting to learn what perception is, especially when you lose a football match.
"I don't know [the narrative] because I don't read that. But obviously, after reviewing the match and analysing it, it's a very different perspective or opinion than the one that I have in relation to that. You have to respect every opinion.
"At the end, the opinion is going to be different if you win or lose. You have to accept that."
Viktor Gyokeres has wasted no time making his mark at Arsenal, scoring three goals in his first four Premier League appearances and helping the club assert itself as a genuine title contender.
Arne Slot has eased concerns over Alexis Mac Allister's fitness after the midfielder was withdrawn at half-time in Liverpool's 1-0 win at Burnley on Sunday.
Liverpool left it late, but grabbed a late victory against a ten-man Burnley on Sunday afternoon thanks to a 94th-minute penalty from striker Mohamed Salah.
Mikel Arteta says Arsenal's new signings are helping the Gunners become "more unpredictable" as five new arrivals impressed in a 3-0 win over Nottingham Forest.
