The German club stormed to a 3-1 victory in the Champions League at the Emirates on Tuesday night, with Toni Kroos and Thomas Muller handing them an early lead, and though Lukas Podolski got a goal back for the hosts in the second half, Mario Mandzukic later added a third.
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"We didn't think it would be so easy," the 29-year-old admitted to reporters. "We know Arsenal are having some problems in the league, maybe they are lacking in confidence.
"But we feel good and we're delighted to have got that result. We're all working hard together, with the will to play well, to win, to defend together. It's important to carry on like this.
"We will have to match that performance in the return leg. We're in good shape to reach the quarter-finals but nothing is ever over in football."
With Arsenal needing at least three goals at the Allianz Arena in the return match to overturn the deficit, Jupp Heynckes' men are hot favourites to reach the quarter-finals.
However Ribery's team-mate Daniel Van Buyten insists they cannot allow complacency to creep in because Wenger's side still pose a threat.
"We have taken the first step, that’s for sure," he added. "We'll prepare well for the return match because Arsenal are still a big gun."