Bendtner did not suffer any serious injuries in the accident, but he will not be considered for the Group H game.
Arsene Wenger said: "Nicklas did not practice because he had a car accident yesterday.
"Fortunately there was no real long-term damage, but he was bruised and we thought it better he did not train.
"He should be back for Sunday's game [against Blackburn]."
England forward Theo Walcott is expected to return from a back problem in time for the weekend, but Denilson is set for up to two months on the sidelines with a fracture to his back.
Goalkeeper Manuel Almunia is still troubled by the chest infection, so Vito Mannone will continue in his place following a man-of-the-match display against Fulham.
Samir Nasri (leg), Lukasz Fabianski (knee) and Johan Djourou (knee) remain out.
Gunners (from): Mannone, Clichy, Gallas, Vermaelen, Sagna, Song, Diaby, Fabregas, Arshavin, Eduardo, van Persie, Szczesny, Rosicky, Eboue, Silvestre, Ramsey, Gibbs, Wilshere, Vela, Watt.