The German wing-back suffered an ankle injury early on in the 1-1 draw and was replaced by Mauricio Taricco after only 17 minutes.
Christian is now doubtful for Sunday's friendly against Italian giants Lazio at the Lane and a concern for the boss with the start of the Premiership just over a week away.
Christian has turned an ankle, so that's a big blow for us," sighed Glenn.
"We've been waiting a whole year to get Christian and Stephen Carr on the pitch together, two great wing-backs, and it lasted 17 minutes. I don't know, I scratch my head.
"He's a doubt now for Sunday but Everton, I don't know, it's too far ahead."
On a brighter note, Stephen continues to impress with his form and fitness after a year out of action.
He has now played three full 90-minute stints in a week at Crystal Palace, Feyenoord and against Celtic - his first appearance at the Lane since May 2001.
Glenn added: "He's getting there slowly but surely. He hit a couple of magnificent balls tonight, one to Teddy was exquisite."
Glenn Hoddle wore a frustrated look after Christian Ziege hobbled out of Wednesday night's friendly against Celtic.