In a strange prelude to the new campaign we travel to the Greek capital for an 8.15pm kick-off (local time), before a number of the players embark on an international week before the real thing starts in earnest on August 18.
Glenn has every reason to be optimistic as the new season approaches after Wednesday night’s convincing victory over the Italians.
"To win 3-0 in any game is a positive result without a doubt," said Glenn. "I’m very happy with the way we passed the ball, the movement and chances we created.
"We’ve stepped it up by playing Fiorentina, it is a step up from where we’ve been building our pre-season.
"I’ve gone on record many times saying pre-season results don’t mean much, but the performance was good and I was pleased with it.
Fiorentina coach Roberto Mancini said Spurs’ play gave the impression of a team who had played with each other for a long time — a compliment bearing in mind the team is playing a new system featuring new players.
"It’s an interesting observation," said Glenn. "Considering we haven’t really. There has been a lot of work going on at the training ground. I think there is a lot more to come and a lot more to improve on.
"I think it’s difficult. We had three players making their debut in front of our home crowd and it’s human nature that they want to show the offensive side of their game and how good they are.
"Quite frankly, in the first 20 minutes we weren’t organised and lost our shape defensively. We put that right and that gave us the platform to pass the ball well. I was pleased with the way we changed that around and that’s always a good observation as a coach."
One aspect of the play, which delighted the bumper crowd who gathered to honour Bill Nicholson, was the neat interplay of the Spurs side.
"That’s the traditions of this club," insisted the boss. "The way the lads played tonight is very much along those lines. We passed the ball, it was very rarely we hit a long ball, and if we did it was with an aim and purpose.
"I was delighted, it’s only a foundation - the main event comes along against Villa."
After a successful night against Fiorentina, we again take the continental route and head off to face Greek outfit AEK Athens in our final warm-up game on Sunday.