Chelsea, Liverpool and Manchester City are all reported to be interested in the £36million-rated youngster.
Di Maria told News of the World: “Since I was 13 or 14 years old, I’ve been telling my mother and my father that my dream is to play some day for Manchester United.
“And I won’t stop till I get it.
“When I watch [Wayne] Rooney and all of them on TV, I can’t wait to play there at Old Trafford.
“When I was a little boy I watched Arsenal games as well, but Manchester United always dazzled me most.”