The 30-year-old striker has come to the end of his current contract and will not be offered a new deal.
Injuries have been the bane of Chris's life at the Lane.
Groin problems have kept him out for almost 18 months and he has yet to play for Glenn at Spurs - his last game was, ironically, against Glenn's Southampton side back on December 27, 2000.
Chris returned briefly for the reserves towards the end of this season and has remained positive throughout, but time has finally caught up with him at Spurs.
A disappointed Glenn revealed: "I said to Chris that I was waiting, waiting and waiting and I wanted him to have two or three months in the reserves showing me what he could do fully fit and perhaps then we could have offered him some sort of contract.
"Sadly, the time has come where we had to make a decision and we've had to say no and he'll have to move on.
"I have said to Chris that if he doesn't find a club straight away he can come back to train with us in pre-season, use our facilities and we'll give him the opportunity to get 100 per cent fit.
"We owe that to the lad. He's a smashing lad and we wish him well."
Chris joined us from Palace for the 1995-96 campaign and was a big hit that season, forming a lethal partnership with Teddy Sheringham and scoring 22 goals in all competitions.
Injury problems took hold for the next couple of seasons but he bagged 12 goals in 1998-99 and looked back to his best with a spell of nine goals in 13 games at the end of the 1999-2000 campaign.
But injury problems hit again last season when he only managed nine starts and that start at the Dell almost 18 months ago proved his last.
Look out for Chris's reaction at leaving the Lane on the Official Spurs Website later...
Glenn Hoddle has confirmed that Chris Armstrong will be released by the club this summer.