Arsenal have qualified for the last 16 of the Champions League this season.
Arsenal are one of the biggest clubs in England and in the world, but the Gunners have never won the prestigious competition.
The North London outfit came close to clinching Europe’s premier club competition back in 2006 when they reached the final.
Arsene Wenger’s side regularly feature in the group stage and the knockout rounds of the Champions League, but they have become also-rans in recent seasons.
West Ham vice-chairman Brady has revealed that she would love Arsenal to win the Champions League this season.
However, the 47-year-old has suggested that it will not be easy for the Gunners to do so.
Despite finishing top of Group A ahead of Paris Saint-Germain, the Premier League club could face German giants Bayern Munich or Spanish powerhouse Real Madrid in the last 16.
“Arsenal top their Champions League group but they shouldn’t be firing off a 21-gun salute yet as they may get Real Madrid or Bayern Munich next,” Brady wrote in her football diary in The Sun.
“But Arsene Wenger’s side are in a rich seam of form, it’s a great club, great manager. I’d love them to win it.”
Arsenal are at the top of the Premier League table at the moment with 34 points from 15 matches.