"When that speculation is flying around it is bound to turn your head," Boothroyd told reporters. "For a young player... it would be daft not to say that in some way he must think about it.
"What I will say is because he doesn't say too much you don't get to find out too much. He keeps things to himself and is a very private guy."
The 21-year-old, who has three years left on his Palace contract, started 35 Premier League games for the club last season.
(Reporting by Hardik Vyas in Bengaluru; Editing by Simon Jennings)