Bullard, who has now retired from the professional game, was on the books of London club West Ham from 1999 to 2001.
The retired midfielder failed to break into the Hammers' first team and did not make a single appearance in the league.
Redknapp was the West Ham manager at the time, and it was his decision to allow Bullard to leave at the end of the 2000-01 season.
Bullard has revealed that he and the former Tottenham Hotspur manager parted on good terms.
"A little bit gutted," Bullard told FourFourTwo magazine when asked how he felt when West Ham let him go.
"I had a lot of mates there and felt I could have held my own in the first team, but I don’t think holding your own was enough for Harry - he wanted someone who was going to set up two goals a game.
"We left on great terms. I said: ‘I’ll prove you wrong one day, Harry,’ and he said: 'I hope you do, Jim. Good luck.’ And away I went to Peterborough."
Bullard joined Peterborough United after leaving West Ham and moved to Wigan Athletic in 2003.
The 36-year-old played for Fulham, Hull City, Ipswich Town and Milton Keynes Dons before hanging up his boots in 2012.
In the final years of his career, Bullard struggled with serious injuries, which were a major reason why he had to retire relatively early.