Arsenal are offering to compensate fans who travelled to Sunday's 8-2 thrashing by Manchester United with a free ticket to a future away match.
The Gunners conceded eight goals for the first time since 1896 in the embarrassing reverse at Old Trafford.
A club statement said: "Sunday's result was obviously disappointing for everyone connected with the club.
"Our travelling fans were magnificent throughout and we want to recognise their fantastic support."
The club will be writing to fans with more details of the offer.
Arsenal manager Arsene Wenger said he felt humiliated by the crushing defeat, which left the Gunners with just one point from their opening three games of the Premier League season.
Beset by injuries, suspensions and the sales of Cesc Fabregas and Samir Nasri, Wenger is under pressure to sign reinforcements before the transfer window shuts at 2300 BST on Wednesday.
The move to compensate fans follows a similar act by Wigan, whose players clubbed together to refund the costs of every away fan who travelled to Tottenham to see their team hammered 9-1 at White Hart Lane two years ago.
German side Energie Cottbus refunded 600 fans the cost of a trip to Schalke after seeing their team lose 4-0 in what the club described as a "pitiful performance".