The 18-year-old has been linked with practically every major side in Europe following his standout 2016-17 campaign, in which he scored 26 goals in all competitions.
been linked with a stunning £123million bid most recently, while possible moves to Real Madrid or Ligue 1 rivals Paris Saint-Germain continue to be put forward.
Mbappe has largely kept quiet on rumours
around his future but suggested that he would be open to a transfer when quizzed by the Spanish media during Monaco's pre-season training in Switzerland.
"I don't know if I'm going to stay,"
he told Marca.
The France international was Monaco's most exciting player as they claimed the Ligue 1 title and reached the semi-finals of the Champions League last term.
It has been speculated that he would be prepared to leave before next season given that he is set to watch a number of team-mates move on to other clubs.