Spurs won 1-0 at Eastlands through Peter Crouch's header to secure fourth spot and at the least a place in the qualifying rounds of Europe's elite club competition.
Redknapp hailed the performances of Crouch, fellow striker Jermain Defoe and defenders Ledley King and Michael Dawson, all of whom shone in front of the watching England manager Fabio Capello.
The Spurs boss said: "King and Dawson - my God they were good, Crouchie led the line unbelievably, it was a great performance from him, and the best we have seen from Defoe for a while."
He added: "It was great to come here and win - I took a big gamble and played an attacking team. We went for it.
"People will think I'm mad coming away from home like this - all the top teams only play with one up front now.
"I'm very pleased - it's great for the club, a good achievement and we have played great football this year."
Tottenham have not played in the European Cup since their legendary double-winning side lost in the semi-finals to Benfica in 1962.
The success marks a remarkable 18 months for Redknapp who took over in October 2008 when Spurs were bottom of the Premier League with two points from eight games.
Redknapp added: "Daniel Levy [Spurs chairman] was scared that we were going to get relegated that's why he made the move, at the time he was afraid we could have been stuck in a relegation battle and we were in it for a long while.
"Of course this means a lot to me, I'm delighted but I know I'm good at my job, I wouldn't have done it if I was a mug."
Source: PA
Source: PA