The experienced coach inherited an ailing side in 2008, but has been able to turn Spurs into a respected outfit both at home and abroad.
Qualification for the UEFA Champions League last term saw the North London outfit return to football's top table, and a 3-0 victory over Werder Bremen on Wednesday took them into the last 16 of Europe's premier club competition.
"Maybe he has something magic, you know," said the 33-year-old, who was snapped up by Spurs as a free agent over the summer.
Gallas admits Redknapp has got the entire Spurs camp believing in themselves, with Sunday's 3-2 victory in the North London derby, achieved after falling two goals behind, proof of the club's never-say-die spirit.
"After Saturday (against Arsenal ), I think the players know we can do something," he added.
"We have the quality, so what we have to understand is to believe in ourselves and go on the pitch and fight for 90 minutes."