Brown stepped up his preparations for Hull's first season of Premier League football by signing the 28-year-old former Barcelona midfielder on a two-year deal on Saturday.
Geovanni has not scaled the heights expected of him when Barca paid £11million for his services in 2001 and he was released by Manchester City this summer after a disappointing season at Eastlands.
"We wanted to see what his physical condition was like and we wanted to see whether he was ambitious," Brown told the club's official website. "We always knew there was a player in there.
"I've only just spoken to him about that particular match, which also featured the likes of Patrick Kluivert, Rivaldo and Luis Enrique.
"And to have someone from that fixture now playing for Hull City is a testament to just how far we've come as a club.
"I think it's a tremendous coup for the football club to have him on board and I'm certainly looking forward to working with a Brazilian international."