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The PSV Eindhoven midfielder has already won 18 caps for Holland, skippering his country in their World Cup qualifying win over Romania in March.
Strootman has just returned from Israel when he led his country to the semi-finals of the European Under-21 Championships.
Now, his future is uncertain.
Although he still has three years remaining on his contract at PSV, Strootman has long been touted as likely to be moving on this summer.
Serie A outfit heavyweights Napoli are the latest to declare an interest and Strootman's agent Chiel Dekker has also confirmed clubs from France and Russia have expressed a liking for the 23-year-old.
However, Strootman wants to play in the Premier League.
"He is focussed on England because that would suit his style," said Dekker.
"He has the physique, the character and the fitness for it.
"I am certainly not afraid he could handle that level."
Manchester United's chief scout Jim Lawlor saw Strootman in action against Russia during the Under-21 Championships, although, as yet, new Red Devils chief David Moyes is still to make a move.
"Kevin has ambition but it is not in my hands," said Dekker.
"From PSV it would have to be a step up to a good club.
"It is not simple though because the price will be expensive and not many teams can afford him.
"The clubs know what he can do now. It is up to them whether they want to reach an agreement with PSV and take him."