But the hosts suddenly came alive and, unbelievably, they were ahead by the 58th minute with goals from Alexis Sanchez, Granit Xhaka and Mesut Ozil turning the game upside down.
Liverpool and Arsenal's frailties are not new.
Bellerin admitted the result was "bittersweet", having swung back and forth in each team's favour over the course of the 90 minutes, but credited Wenger with rallying the Gunners into a better second-half display.
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Jurgen Klopp insisted he won't ditch his go-for-broke game plan after Liverpool blew a two-goal lead in their thrilling 3-3 draw at Arsenal. My job is to think about the performance and that was a winning performance.
"We've got to be more boring". If we stay consistent and avoid our mistakes, mistakes like [on Friday], we will win much more games than we lose or draw.
They were beaten 3-2 at home by Swansea in January last season, in one of the most damaging results of a hard winter for Klopp's side. I apologised, but if the people apologised to me for everything they said it would be a long time.
Liverpool will be without captain Jordan Henderson for Swansea's visit after the England midfielder pulled up with a hamstring injury in the early exchanges on Friday.
He added: "We play such good football going forward and maybe sometimes we need to switch that off for five or 10 minutes". "The draw feels really not good, but that's good because we should have won like in all the other draws we have".