Real Madrid, Manchester City and Barcelona have all been linked with a move for his services, while PSG have remained in contact with him despite their €222 million signing of Neymar.
However, Goal understands the French club have decided the time is not right to sign the 18-year-old due to UEFA's Financial Fair Play rules.
When asked about a potential move at a news conference previewing PSG's Sunday trip to Guingamp, head coach Emery was non-committal on the club's intentions.
"I do not know what will happen in the future," he said. "But Mbappe is a currently a Monaco player.
"I only talk about players in the squad. We have a lot of players, yes, but the daily work is going well."
Monaco boss Leonardo Jardim was also faced with questions over Mbappe's future when speaking to the media before taking his side to Dijon.
Since winning the title, Monaco have lost Benjamin Mendy, Tiemoue Bakayoko and Bernardo Silva to the Premier League, and Jardim expressed the thought that the window is not only about the strengthening of teams, but also the weakening of rivals.
"Once, I was in a meeting with a great Portuguese president and he told me, 'the transfer market is not only there to strengthen teams, it's also there to weaken opponents' and I think that it is a strategy used a lot. But I'm relaxed as usual," he said.
Pressed on if Mbappe had asked to leave, he added: "I won't talk about transfers, about rumours. I already talked about it, this is the story of the great Portuguese president."