The body responsible for referees in English football have accepted they erred in failing to spot an offside in the build up to Brentford's equaliser in a 1-1 draw against Arsenal in the Premier League on Saturday.
Lee Mason was the VAR official in charge at the time.
Arsenal saw their lead at the top of the table cut to three points ahead of facing Manchester City on Wednesday.
"It wasn't human error, it was not understanding your job," said Arteta.
"That's not acceptable, I'm sorry.
"It cost Arsenal two points that are not going to be restored so we are going to have to find those two points somewhere else in the league."
"We ended the game - after analysing all the evidence we had with the images - with a huge anger and disappointment," said Arteta.
"We appreciate the apology and the explanations [from PGMOL] - they were really open. We received a lot of sympathy from our colleagues in football.
"I will only be satisfied if they give me the two points back, which will not be the case.
"They were sincere, open and genuine apologies and explanation which is really good but it doesn't change the fact we have two less points than we should have in the table."
