The Dutchman is yet to taste defeat as manager of the Red Devils having watched his side emerge triumphant in the International Champions Cup on Monday evening.
Victories over Inter Milan, Roma and Real Madrid was followed up with a 3-1 win against fierce domestic rivals Liverpool in Miami's Sun Life Stadium, and the former Netherlands coach has almost instantly given supporters genuine cause for optimism after last year's harrowing campaign.
David Moyes endured a torrid time at the helm and was eventually sacked in April, less than a full season into a six-year contract, and Giggs took over in the interim period at the back end of the campaign.
The Welshman decided to call time on his decorated career upon confirmation of Van Gaal's appointment and the long-serving midfielder will be LVG's assistant.
And Giggs has explained how Van Gaal's pedigree, which includes domestic titles with the likes of Ajax, Barcelona and Bayern Munich, marks him out as an ideal candidate to lead the team forward.
He told the club's official website: "He won't be overwhelmed. Even the manager has realised how big this club is in the short space of time he has been here.
The crowds for friendlies are 'unbelievable' in his words. He's managed at the top level for a long, long time and won't be intimidated or afraid of managing Manchester United.
"I think he's a great character. He is, first and foremost, a leader and demands respect, demands discipline and a real sort of detailed structure. But, within that structure, there is obviously freedom to move. It's been great - the players have really enjoyed it so far and I certainly have."
The 40-year-old also detailed how the "meticulous" planning of Van Gaal and his coaching staff have already been a benefit to a squad that finished 22 points behind local rivals and eventual Premier League winners Manchester City.
"It is meticulous, right down to meeting for breakfast, and for lunch," he added. "And even the team meetings that we have. Plus the training. Everything is structured and really detailed. I think the lads have all enjoyed all the things that have come that are a little bit different."
Van Gaal begins his Premier League career with a visit from Swansea City on August 16, and Liverpool manager Brendan Rodgers was quick to offer the Red Devils coach a word of warning prior to the 2014-2015 campaign.