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The 45-year-old left Juventus last summer to take up the national post, having guided the Turin-based giants to three successive Serie A titles.
But speaking TV show Grand Hotel Chiambretti, the former Juventus boss hinted that United approached him before appointing Van Gaal – the then Netherlands boss.
"The English team that looked for me ended up signing the coach of a national team," he said.
"But my challenge with the national team is personal. Becoming a coach where usually the job is to select players, it is inspiring."
Manchester United summer signings - assessed
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Van Gaal was criticised once again following United’s lacklustre display in the win over Newcastle in midweek, and the Dutchman has had to play down talk of a rift with assistant boss Ryan Giggs.
He told a news conference: "No. We have a very bad relationship. I cannot answer that. I want to have those rumours."
He then added: "I am very irritated at this question because everyone can see we have a very good relationship. We work very hard together. Not only with Ryan but with all the staff and the players. It is a way of suggesting things. I am very irritated. I take my measures against the media. I am not pleased."
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