Goals from Gus Poyet and Les Ferdinand secured a much-deserved victory at Highfield Road and booked a home tie against Bolton in round four on Saturday January 26.
With a couple of defeats and injuries in recent weeks the win and manner of the performance was just what the doctor ordered.
Glenn beamed: "I was delighted with that. It was a very professional performance. We are in the third round of the FA Cup away from home with everything to lose.
"Coventry had nothing to lose and it could have been a big banana skin for us but it didn't turn out that way.
"I was pleased with the way we performed, very professional and we could have scored more goals. I was delighted with the way we approached it and the way we played.
"In all honesty it wasn't much different to the previous two games which we lost against Chelsea and Ipswich.
"What we did though with the ball enabled us to finish things off and we also didn't give away silly goals from set plays. That was the difference and why we lost at Ipswich.
"There was nothing wrong with the way we played, we just needed that little bit of belief that we could create more with the possession we've been having."
Paul Miles at Highfield Road
Glenn Hoddle cast a completely contrasting figure at Coventry last night to the disappointment he showed at Ipswich Town and could barely hide his delight after our 2-0 FA Cup win.