Tottenham reached the final of a domestic cup competition for the first time since 2015 by dispatching championship side Brentford 2-0 thanks to Moussa Sissoko and Son Heung-min’s goals on Tuesday.
It puts the club well on course to breaking their 13-year trophy drought under Jose Mourinho, who has won the competition four times with Chelsea and Manchester United in the past.
Spurs last won a trophy in 2008 under Spanish manager Juande Ramos after beating Chelsea 2-1 after extra time in the League Cup final.
The Lilywhites will play either Manchester United or Manchester City in the final on April 25, and Redknapp believes Mourinho’s men will not fear either side, having beaten them both in the league this season.
"It's huge for Mourinho and for the whole club in trying to change their mentality," the former Tottenham midfielder told Sky Sports.
"Now it's a big opportunity for him. They will have to play an incredible side, be it Manchester City or Manchester United in the final, but that's where they want to be. It's been over 12 years since this club won a trophy which is too long.
"They were professional and did it the right way, and they always had it in them to win this game with the likes of Son and Kane but it's a big win.
"Fans will all get brainwashed nowadays with the idea of getting into the Champions League and the money that it brings into the club, but when you look back at your career, you want to win trophies. So for Spurs, this is a massive statement.
"They've proved they can beat Manchester City and earlier in the season they demolished Manchester United. They can put this to bed now as something they can look forward to, and with how explosive they are up front, they can beat anybody."
