The Middlesbrough boss brings his ever-improving team to the Lane for a Premiership encounter this afternoon.
McClaren is part of Sven Goran Eriksson's England coaching team and it was put to Glenn whether or not he thought he could eventually take the top job.
"I would think so," said Glenn, of course, a former England manager. "I would think that's the reason they've had Steve in there.
"I know Steve well and he's an excellent coach. I remember the days when he was at Derby and now he's doing a very, very good job at Boro.
"He's very well respected. Some people find out the hard way sometimes that they are a better number two than number one. Steve looks like he's made that transition.
"He had a sticky wicket to overcome at the start of last season but he came through that very well. I think that's given him a lot of confidence and he's doing a great job."
Glenn Hoddle believes Steve McClaren can be a future England manager.