The 30-year-old Parker completed his 5-million pound ($8.2-million) move to White Hart Lane on the final day of the summer transfer window.
“He’s a good character, a fantastic person, a proper family man, a real good pro. He’ll be great around the place for us.”
The current Football Writers’ Association Footballer of the Year leaves West Ham four years after joining from Newcastle.
Spurs were beaten 5-1 by Manchester City on Sunday, leaving them bottom of the Premier League with two losses.
Striker Peter Crouch could be among the players leaving White Hart Lane, with Redknapp confirming Queens Park Rangers as well as Sunderland are keen on the England striker.
“There’s three or four clubs wanting him and he wants to play football,” Redknapp told Sky Sports News. “He’s too good not to play. He’s an outstanding player.”
Tottenham sent midfielder David Bentley on loan to West Ham until the end of the season.
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