21-year-old Fletcher, a full Scotland international, has been a regular in the Hibees’ first team for the past four seasons.
After incredibly being linked with Spanish giants Real Madrid towards the end of last season, the striker is now being linked with a move to the English Premier League.
Park admits a move of that sort is likely to happen at some point in the future, and concedes there is little Hibs can do about it.
"I think his ambition is to move on and he has the ability; he's a top player,” he said to BBC Sport.
"I'm sure he'd love to play in the [English] Premier League and who wouldn't?
"I think it's great that he wants to move on and to go and achieve the highest level that he possibly can; he's got the ambitions to do that and quite rightly so.
Over the years, despite an improving financial position, Hibs have sold the likes of Kenny Miller, Scott Brown, Kevin Thomson and Derek Riordan to bigger clubs, and some fans are beginning to grow frustrated at the lack of ambition shown by the club’s hierarchy.
"I think we've all got to be sensible on that side,” said Park.
"If you get an appropriate fee for a player, you've got to allow that player to move on and we have to continue to balance.
"Are Rangers and Celtic feeder clubs? Rangers lost [Carlos] Cuellar to England."
He continued, "I don't think I'm speaking out of turn, but there comes a point when players need to move on to become better.
"Fletcher's done great for the club and he will work as hard as anything for the club until that time changes, as I'm sure it will at some point."
Fletcher has scored 46 career goals for Mixu Paatelainen’s side, the latest being a last-gasp equaliser during last weekend’s Scottish Premier League clash with Aberdeen.
Chris Myson, Goal.com