The boss, however, will have to wait a little while to get working with the exciting 22-year-old as he is off with the Republic of Ireland for their Euro 2004 qualifier against Russia in Moscow.
"On the pitch he's got superb movement - I think that is excellent - and he's got a superb first touch," said Glenn.
"I think, as a striker with your back to play, you need that. He will give us a bit of something new.
"Teams that have to defend against us will be challenged in a different way with Robbie. He's a cute player who sees things.
"Above all, and I'll take my manager's head off, as an entertainer he'll be great to watch."
He insists that Robbie is not all about dazzling skill and tricks, he does stick the ball in the net and Glenn feels this part of his game will eventually see him join the great players in terms of ability.
"He's got end-product, that's where your best players are and I think, at 22, he's got time to progress to that quality.
"I think he'll be here for a long time - he's at home now. I think our fans will take to him instantly.
"I think he's got his best moments to come and it is a good time to get him."
Glenn Hoddle has outlined what, as a coach, he expects Robbie Keane to bring to the team following the striker's switch from Leeds United.