Round was appointed at the start of the month to work alongside David Moyes and the rest of his backroom team.
It was obvious from day one taking charge at United would be different from the work at their previous club, Everton.
But nothing could prepare them for the level of support they have encountered on all three stops of their five-match tour so far.
"From the outside you don't really understand the enormity of the club," Round told www.manutd.com.
"It's obviously a massive football club in a playing sense, but it's also a global business.
"That's probably what struck me.
"This tour has shown that. The attention to detail of everything is so impressive, whether it be team travel or training facilities - it's exceptional.
"Everything is spot on. That's how it should be for the biggest club in the world."
The familiarity with life at United was one of the reasons why Moyes has also appointed Phil Neville and Ryan Giggs to his coaching team.
For now Giggs will combine his work with that of a player.
And Round is delighted about that.
"To have Ryan as a player and a coach is terrific," he said.
"Somebody asked me the other day who is the best footballer I've ever worked with. My immediate answer was Ryan Giggs - and I've only worked with him for a few weeks.
"He's arguably the best Premier League player there has ever been and working so closely with him makes you realise even more what a top footballer he is."
Giggs has already admitted his actual coaching role will be restricted until his playing commitments are over.
But the 39-year-old clearly has a major role to play in the transition from the Sir Alex Ferguson era to that of Moyes.
"Having him on the staff is going to be vital when it comes to being able to confide in him and ask for his opinion on things," said Round.
"He has that experience of the United way and what it takes to win here.
"We're getting the best of both worlds having him as a player and a coach."