The Gunners beat Liverpool on penalties on Thursday night to progress to the next stage of the competition, with Bernd Leno putting in a Man of the Match display.
The German stopper made seven saves to keep the score at 0-0 in normal time and repeated his heroics in the shootout, saving penalties from Divock Origi and Harry Wilson.
Joe Willock scored the winning spot-kick as his strike wriggled under Reds ‘keeper Adrian to send the Gunners through to the next round.
The luck wasn’t on Arsenal’s side in the draw, however, as they face Man City in the quarters.
Arteta got the better of his former mentor Pep Guardiola in the FA Cup semi-final last season, and will be looking for his side to pull off a similar performance again in the Carabao Cup.
‘It is what it is, there are some top teams now in the competition. Another big challenge and we will get prepared for that.
‘We want to take every competition as an opportunity to win a trophy and we have to do that with the club that we represent and we will try to go game by game.’
‘There’s a belief, the squad is together, everyone seems to be buying into what he wants and you can see that everyone’s playing for him,’ Redknapp told Sky Sports.
‘They know what they’re trying to do. You can also see he’s working with the players on the training pitch because it’s coming off.
‘He won’t be delighted with that draw, but he’ll know he’s capable of doing it because they’ve won so many big games recently.’