Zamora, 30, flopped during a disastrous six-month spell at Tottenham in 2003 before he was offloaded to West Ham as part of the deal which took Jermain Defoe to Spurs for the first time.
But that will not stop long-term admirer Redknapp trying to take him back to White Hart Lane.
The Spurs boss is in the market for at least two new strikers and sees Zamora as the perfect complement to a big-money signing. However, players must be moved on before chairman Daniel Levy will sanction any bids.
Tottenham, despite their strict wage structure, will have no problems offering Zamora a salary hike from the £50,000 a week he currently pockets at Fulham.
And Redknapp will kill two birds with one stone if he can land Zamora and offload Crouch (left) in the opposite direction.