Redknapp, who took over at Queens Park Rangers in November, will face Spurs for the first time since being sacked in the Premier League at Loftus Road on Saturday.
The 65-year-old led Spurs to two top-four finishes in three years, and despite being axed by the chairman, Redknapp said he holds no grudges.
"If I see Daniel, I'll shake his hand, no problem," he said.
"On the day I started at QPR, the first call I got was from Daniel wishing me luck.
"What's happened has happened and is in the past. He is the chairman, he decided he wanted a change of direction with regard to the manager and that's that.
"I thoroughly enjoyed my time at Spurs but now my focus is to get three points for Rangers when we play them because we are in a lot of trouble at the bottom of the table."
A struggling QPR sit just five points adrift of safety going into the weekend's game, with former side Spurs chasing Champions League qualification under current manager Villas-Boas.
Redknapp added: "I don't have a relationship with Villas-Boas but then I don't have a relationship with any other manager in the Premier League.
"I don't socialise with him, he's gone to Tottenham and done a great job. What's the problem? I've got no problem with him at all.
"If I had something bad to say about him I'd say it, but I don't know him.
"I'll shake his hand after the game and invite him in for a drink, whatever
the result. I don't have any problems with him. He seems a nice guy.
"I won't be thinking 'it's Tottenham, we have to beat them'. QPR are my club
now, I'm not interested in Tottenham."