The QPR manager brought the former midfielder back to Spurs while in charge at White Hart Lane, with some pointing to similarities between the pair's tactical approach
The former technical co-director was appointed as Andre Villas-Boas' successor on a deal until the end of next season on Monday evening following two games in charge on an interim basis.
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"That's got to be a compliment, hasn't it?" Sherwood told reporters. "I wouldn't mind following his career and I wouldn't mind being a pound note behind him as well.
"I am not trying to be Harry Redknapp but it is a simple game, though, isn't it?
"If you can't pass the ball to your own team-mates, then you have a serious problem because you are going to have to keep on defending.
"That's what we did in the first half at Southampton. But moving forward, we just have to try to get the players better."
Sherwood fielded a very attack-minded team on Sunday as Tottenham beat Southampton 3-2 at St Mary's, and the 44-year-old says his approach in future will be similar.
"I think with the calibre of the players we have at Tottenham, we shouldn't have a dull game," he said. "As long as they are playing in their correct areas of the field and allowed to express themselves.
"I always maintain that when you come into a football club, there are very few that give you a script saying 'you need to play like this'. Swansea are a good example.
"Someone who goes in there cannot rip up their philosophy and say 'I'm going to play back to front.' It's not going to happen.
"In an ideal world, everyone wants to build an identity for their football club and say 'Tottenham I know are going to play like that'. Well, at the moment we don't."