Teenager Hirst, the son of former Owls fans’ favourite David, will be out of contract at the end of the season and the Europa League champions are reported to be favourites for his signature.
The 19-year-old has not been selected for first-team football this season after refusing to sign a new deal and some Owls fans are angry the club have not tried harder to keep him.
“It’s a decision George will have to make himself,” said Luhukay, ahead of the Owls’ trip to QPR.
“I think it’s really difficult when a club as big as Manchester United has an interest in him to say no.
“George must decide how he sees his future and I respect that. It is a decision for George. A good decision or not a good decision, I cannot answer that.”
Owls chairman Dejphon Chansiri has insisted the club have done all they can to keep Hirst and last month urged him to make up his mind quickly on his future.
The club have turned down several offers for Hirst, who helped England Under-20s win the Toulon Cup in France last summer, while Leicester and Everton have been linked with the player.
Hirst, who progressed through the Owls’ academy, rejected a new long-term deal at the end of last year, which the club have claimed would have made him the best-paid player for his age in their history. “We’ll do the best for Wednesday, but we try also to help the young players to start a good career here,” said Luhukay.
Last six games: QPR WWDLWL Sheffield Wednesday LDWWWL.
Referee: O Langford (West Midlands).
Last time: QPR 1 Sheffield Wednesday 2; April 17, 2017; Championship.