He insists Sven Goran Eriksson need look no further than the Lane for an in-form striker to help beat the Greeks and book England's place in next year's World Cup Finals.
Teddy, 35, has been left out of the last two England squads.
But his form at Spurs has been first class since his switch from Manchester United.
"If Sven is looking for players in form then there is no-one better than Teddy," said Glenn. "But if he's going to be chosen, he needs to play. There is no point Teddy at his age and experience just being part of the squad. On form, his form is as good as anyone."
Glenn was happy to extol Teddy's virtues at Thursday's packed press conference. He agreed that Teddy was playing as well as ever and that he could stay at the top beyond his current two-year deal at the Lane.
"He's just got better and better," said Glenn. "He had a good grounding, starting at Millwall, learned a lot there.
"He came to a big club here, played in the style of football that suited him, went off to Manchester United, played at the top level, won things at club level and gained more experience at international level. That takes you up another level, kicks you up another gear.
"He's now come back to Tottenham and picked up where he's been for the last 10, 15 years.
"It's a credit to him. He's responded well to the captaincy, he's working as hard as he's ever worked over the last few years and enjoying every minute of it.
"I felt he was capable of maintaining that form for another two seasons.
"Other players have proved they can play in the Premiership until they are 38, 39. Teddy has never relied on his pace anyway. His first two yards are in his head."
Glenn Hoddle believes Teddy Sheringham is ready for an England recall against Greece next weekend.