Liverpool manager Juergen Klopp
The Spaniard was heavily criticised for giving away a penalty and his role in the opening goal of the game. There have been suggestions that James Milner could play ahead of Moreno at left-back for Saturday's trip to Burnley in the Premier League.
Liverpool's Alberto Moreno concedes a penalty against Arsenal's Theo Walcott
Klopp told reporters at his pre-match press conference, as reported by the Liverpool Echo: "If someone doesn't perform too well we talk about it in a press conference? That's cool.
"I can't be interested in criticism. Alberto played for a reason. Is the world not satisfied with our left-back?
"I haven't made a decision on the line up for Saturday yet. It's my job to watch who gives me what signs."
Klopp went on to say that he has three other players who can play left-back in Milner, Nathaniel Clyne and Ragnar Klavan and indicated that he hadn't found the kind of left-back he liked that was available in the transfer market.
He added: "We will only take another one if it's the guy we want. Problem with transfers is no-one cares about players still here.
"If we expect commitment from the players then we have to show commitment too. You can't play without making mistakes."
The Liverpool boss said that Divock Origi is in contention for a starting place after being used a substitute in the win over Arsenal, while Joel Matip may make his debut after being an unused substitute at the Emirates Stadium.
Sadio Mane remains a doubt for the game after picking up a shoulder injury in training yesterday. Klopp shed light on the injury, saying that he doesn't think the summer signing will take too long to recover.
Liverpool manager Juergen Klopp celebrates with Sadio Mane after the match
"It was a situation when it is was a challenge, two players up in the air and Sadio fell on his shoulder. It's not that serious.
"It won't take a long time but I don't know yet whether he will be available for this weekend."