The Gunners were hammered 3-0 by Roberto Martinez's side, and the Frenchman has admitted that his side were "bullied" off the park by the Toffees despite fielding a strong team.
He told reporters: "Everton was a low point last season, yes. In the quality of our performance, and even more than that in mental resistance, the mental steel on the day.
"That was one of our low points. We played with [Lukas] Podolski, [Olivier] Giroud, and we were a bit bullied. At the back we had [Per] Mertesacker, [Thomas] Vermaelen, [Nacho] Monreal and [Bacary] Sagna. It was an off day, as well physically.
"We have a good opportunity to show on Saturday that we have moved forward and that we are stronger than last year."
Arsenal beat Crystal Palace in their Premier League opener last week.