The striker completed his move to the Lane on Saturday in a deal of up to six years in length, costing up to £7million.
Still just 22, the former Wolves, Coventry City, Inter Milan and Leeds United hitman was a star of Ireland's memorable World Cup campaign when he scored three goals in four games.
Delighted to get his man on deadline day, boss Glenn beamed: "Robbie is made for this club and I think he will do a great job for the club, I really do.
"He will give us a little bit of a different dimension to the strikers we have already.
"I think he's got top, top quality. He has some wonderful skills. He's sharp, he runs at people with the ball and he makes runs off the ball.
"We've got some good passers in the club and some legs as well with Simon Davies and Matty Etherington and now Robbie Keane. We've a better balance.
"You think about Christian Ziege, Jamie Redknapp, Darren Anderton, Teddy Sheringham - there are some lovely passers in there but we've got to balance between that and movement off the ball. They will give teams something different to defend against."
Glenn Hoddle believes Irish superstar Robbie Keane is made for Tottenham Hotspur.