The German international watched from the bench at we beat Leyton Orient in a friendly on Thursday night.
The 29-year-old had a miserable time at Anfield despite the Reds’ memorable treble-winning season as he lost his place in the side to Jamie Carragher.
He can now resurrect his career at the Lane and, as Glenn points out, with the World Cup just around the corner he has plenty to prove on both domestic and international fronts.
“Christian is a quality player player and the English public probably hasn’t seen the best of him yet,” said Glenn at Brisbane Road.
“Three years ago he was probably the best wing-back in the world and he has a lot to prove to the public and probably a bit to prove to himself.
“I know the quality he’s got and he has a great incentive with the World Cup coming up in that he’s got to get back in the German team.
“I think we’ve got him at the right time and if we can work with him in the right way I’m sure we’ll get the best out of him because he’s still at his peak.
“He’s only 29 and has two or three years of his peak left.”
Glenn Hoddle insists we’ve snapped up Christian Ziege at the perfect time.