Van Gaal is currently with Holland as he oversees their World Cup preparations, but he has spoken to Dutch TV about his new role - which he will take up once his duties in Brazil are over.
Van Gaal has previously won titles at Ajax, Barcelona, AZ Alkmaar and Bayern Munich, and is not holding back in his ambitions for United.
"The aim is to bring them back to the No1 position as soon as possible, because that's where they were under Sir Alex Ferguson," he told Dutch TV station RTL.
"It was always a wish for me to work in the Premier League.
"To work as a manager for Manchester United, the biggest club in the world, makes me very proud.
"I have managed in games at Old Trafford before and know what an incredible arena Old Trafford is and how passionate and knowledgeable the fans are. This club has big ambitions; I too have big ambitions.
"Together I'm sure we will make history."
Van Gaal was officially appointed on a three-year deal on Monday.
@boggo Now you're just talking out of your arse, with classic lack of insight, you're blinded by bitterness and incapable of objectivity. The manager's job is to get the best out of his players, Moyes didn't come close to that, he failed because he's a loser, the players did what they were told right until the last month or so, Moyes's tactics were dreadful, his small time mentality was wrong for United, the players knew it and at the end voted with their feet. You've fallen for his propaganda and lowered your expectations as well, in the last decade we've seen clubs like Swansea, Portsmouth, Wigan and Birmingham win trophies, and others like Middlesborough and Fulham go far in Europe, Everton under Moyes never came close to either despite spending at least as much as those clubs. You're wrong, jog on.- solskjaer99