The Gunners lost top spot in the Premier League after their Anfield hammering - Arsenal were 4-0 down after 20 minutes - but goalkeeper Szczesny is determined to put the record straight when the champions visit the Emirates.
The Pole told the Daily Mirror: "We represent one of the biggest clubs in the world and what we did early on is not acceptable.
"We said that at half-time, we went out in the second half with a different attitude and it was much more of an even game.
"But as I said, we will learn our lesson from this and respond quickly against Man United."
Thanking the fans for their support during their heaviest League defeat at Anfield for 50 years, Sczczesny said: "I think if we were half as good as they were we would have got a good result."
Defender Per Mertesacker has echoed Szczesny's comments and said: "The way we performed at Anfield was just not good enough for this level.
"It was one of our worst setbacks of the season but now we have the opportunity to respond quickly against United - and we have to make sure we do that."
The manner of the Liverpool defeat left manager Arsene Wenger furious - and midfielder Mikel Arteta said he had never seen the Frenchman so angry.
The Spaniard said: "We know we need to improve and face those games in a different manner because after 19 minutes we were 4-0 down and it was like a car crash.
"The manager was really upset at half-time, that's normal because it wasn't good enough for this football club.
"It was the angriest I have seen him."