Neymar has been repeatedly linked with a move to Old Trafford in the past, though it would likely mean United breaking the world-record £89million fee they paid Juventus for Paul Pogba last summer.
The 25-year-old Brazil captain has formed a lethal attacking partnership with Lionel Messi and Luis Suarez at Barcelona, with the trio fast-becoming one of the most feared front lines in footballing history.
While Neymar says he is happy "making history" with Suarez and Messi at Camp Nou, the Selecao skipper told The Sun that he is open to a potential move to England in the future - especially if there is a chance to work with the likes of Manchester's managerial rivals Jose Mourinho or Pep Guardiola.
"The Premier League is a championship that amazes me," Neymar said.
"I like the playing style and the teams. And who knows, someday, I would like to play at it, yes.
"I admire Manchester United, Chelsea, Arsenal, Liverpool — these are the teams that are always there fighting.
"And then you have high-level coaches like Mourinho and Guardiola. These are coaches with whom any player would like to work."
Neymar played a starring role as Barca fought back from a 4-0 first-leg defeat to sensationally beat Paris Saint-Germain 6-5 on aggregate in the Champions League.
The Blaugrana are through the the quarter-finals along with Leicester, and the forward says the unpredictability of the English top flight - as shown by the Foxes last season - is a big draw.
"In the Premier League you never know who is going to win or who will be champions, it is always a surprise," he added.
"Leicester are very good. They had a great season last year, they were champions and therefore we need to respect them if we draw them in the Champions League."