Barton is known for his outspoken views on the game and his behaviour in the past has been called into question.
However, Redknapp is adamant that from his experience with the 31-year-old, he feels that he has the aptitude to become a manager.
He is quoted as saying by the Daily Star: "I think he's a manager in the making. He's got a great knowledge of the game. He is a real student of football.
"He wants to talk about it and he did a great job here last season. He was an inspiration late on. I felt he dragged us through games at times."
Barton joined QPR in 2011 from Newcastle United.