In an interview with Helden, Justin Kluivert said: "If you get a nice offer, you never know".
Chelsea were named by Justin among a number of clubs including Manchester United, Barcelona and Real Madrid as potential destinations, but Ajax now have no intentions to sell one of their latest academy graduates.
Kluivert, son of Barcelona legend Patrick Kluivert, has been heavily linked with a move to Manchester United and he insisted that a move to Old Trafford would be a favourable switch in the coming years.
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Kluivert played a bit-part role for Ajax last season and was an unused substitute as the Dutch side lost to Mourinho's United in the Europa League final.
"Everywhere I go overseas, they know my father, and I'm often asked: "Come to Barcelona, I'll give you a tour of Camp Nou".
'I really wanted to go to Barcelona instead of Real Madrid.
"[However] if my agent tells me I have the opportunity, I am the one who makes the decisions and my father doesn't interfere, as he knows it isn't what I want".
"When you go to another country, another competition, you must be strong mentally and physically, you should not leave too early".
Kluivert insists he would also be keen follow in his father's footsteps and sign for Barcelona. "The most important [thing] is to choose a team which suits his style, not the team which pays more money".