Beckham, who retired at the end of last season, has praised the Gunners for their fine start to the season and has hailed the football of Arsene Wenger's side, however the England legend still wants his former club to overhaul the north London outfit.
Speaking to reporters, the ex-United star said: "They’re doing very well this season. They’ve always played attractive football, they’ve always played good football that people love to watch.
"They’re having a great season. They’ve obviously brought some great players into the team, so it’s good to see.
"But I still hope Man United beat them. That doesn’t change!"
Arsenal are currently flying high in the Premier League and hold a four point gap at the top of the table.
This past weekend saw Arsenal beat Cardiff City 3-0 as the Gunners continued their fine start to the season.
And, after Manchester United draw 2-2 against Tottenham at White Hart Lane, David Moyes' side now trail the north London outfit by nine points.
Both clubs are in action this week as Arsenal take on Hull City at the Emirates and Manchester United host Moyes' old club Everton at Old Trafford.