Spurs are now in the hat for round two of the Worthington Cup after Teddy Sheringham's first half strike was enough to secure the passage against a lively Cardiff side at the Lane.
"We were solid when we needed to defend it and I felt we were totally dominant in the first half and really should have come in more than 1-0 up," said the boss afterwards.
"It was a super goal from Teddy, a great ball in from Tano and Teddy got in front to put us in the lead.
"The only shame was that we didn't finish them off - we could have had four or five goals tonight. Their keeper had a terrific game.
"To be fair to Cardiff, they came and had a really good effort and at 1-0 you're always on the edge of your seat and you're never sure in cup football what might happen.
"The last thing we wanted was an extra-time scenario with the injuries we've got and fatigue.
"I'm very, very pleased, we're in the hat and tonight was about achieving that and we've done it.
"We showed our class at times and it was just the finishing touch that was needed. It would have been nice for Keaney to have got a goal and the same for Milo. That will come for them - maybe next time around.
"All in all, after Saturday's performance, it was a very, very good crowd, I must say. They were fantastic, the atmosphere was marvellous and the Cardiff fans played their part.
"On a good cup night we put on a nice solid performance."
Glenn was happy with the performance put in by the team in the 1-0 victory over Cardiff and reflected that more goals could and possibly should have been scored.