Although Ramos won the Carling Cup in his first season in charge, Spurs slumped in the early part of last season, and looked certainties for relegation until Redknapp took over in October 2008.
By the end of the campaign the Lilywhites were in the race for a Europa League spot, and Hoddle thinks that 62-year-old Redknapp deserves much credit for his work at the club.
"Harry's turned them round, he has now got his own players to buy and I'm hoping they have a really good season - I think they can," the former England manager told FIFA.com.
"I wish them well and I hope they have a good season. I like Harry a lot, he's a great lad and I've got a lot of respect for what he's done in football, so fingers crossed they can go on from there.
"It was a difficult season for them, there was too much change. Let's hope that they settle now and leave Harry to do the job over the next few years.
"There has been too much change for too long. People like me, plus
others, haven't been given enough time. Hopefully now they can have a
big season and build on it, and allow Harry to do the job all Spurs
Spurs face Barcelona tomorrow in the Wembley Cup pre-season tournament, and Hoddle feels that the Catalans will present an interesting challenge for Spurs, and allow Redknapp's men to assess their progress.
"How can they cope and assert their game on Barcelona? That's a real
challenge for a lot of teams in Europe," he added.
"Barcelona have proved they are the best team in Europe, and not only by winning. They play a beautiful game; it's a different game when they are in possession. When they play the ball looks round - with some teams it looks square."
Hoddle, who made 490 League and cup appearances for Spurs between 1975 and 1987, scoring 110 goals, was manager at White Hart Lane from March 2001, when he replaced George Graham, until September 2003, when he was sacked and David Pleat took the reins in a caretaker capacity.
Zack Wilson, Goal.com