The German star bounced back from his country’s nightmare against England to grab our vital opening goal in Sunday’s Premiership win against Southampton.
That made it two goals in two games after his late strike at Blackburn and put him top of our early goalscoring tree.
But Glenn expects much more. He said: “Christian has scored back to back goals for us and one of aspects in his game is that I think he can score more goals.
“When he was playing at the very, very peak of form he was a goalscorer from that position.
“It’s really encouraging that we can get him on the scoresheet.
“He has a quality left foot and you get that quality from him but there are things he has to improve on - we all have to improve.
“If we can get him 100 per cent fit - he hasn’t played that much football over the last year - and he drives himself on we’ll see even more from him.”
Glenn Hoddle believes we will see much more from goalscoring hero Christian Ziege.