The Serbian striker has been linked with moves to Liverpool, Arsenal and Newcastle in recent times.
But he has now responded to suggestions that he could be the man to replace Wilfried Bony - now at Manchester City - at the Liberty Stadium.
He told Het Laaste Nieuws: "At this time, I really have no reason to leave.
"Everything depends on the clubs that want me and the money requested and offered.
"I feel happy here and do not think about what will happen. I leave that to my father.
"With Anderlecht we are still fighting on three fronts. All my attention is there.
Wilfried Bony Player Profile
Swansea are a solid team in the Premier League but for me the most important thing that I can play and get better
Aleksandar Mitrovic
"The Premier League? That's not just a dream, I would love to play there.
"The interest of Swansea? There are many reasons why a choice can be good and also why it might not be.
"Swansea are a solid team in the Premier League but for me the most important thing that I can play and get better."
Last year, former Liverpool man Milan Jovanovic has tipped Mitrovic to have a similar impact to former Chelsea star Romelu Lukaku, now impressing at Everton.
He said: "By the time he's 25, Mitrovic should be playing with Manchester City or a big German club.
"You can never be sure, but I predicted it all with Romelu Lukaku. Mitrovic is different [to him], but made for the top."
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