The 20-year-old backed up his excellent 2018 World Cup, where he scored four times as France won the trophy, by netting 38 times for PSG this season.
He was named as the Ligue 1 player of the season on Sunday, but did not deny that a potential move away from France could be in the offing.
“It (the award) is an important moment for me, a turning point in my career… The moment of having more responsibilities, maybe at PSG, maybe elsewhere,” he said.
Mbappe did not back down on his comments when asked about them in the mixed zone a few minutes later. Place bet on Live Matches 24/7
“For me, it was the moment to say it… When I say something, I think about it,” he said, reiterating his desire to have more “responsibilities”.
“If it’s at PSG, it’s good, if it’s elsewhere, it will be elsewhere for a new challenge.”
Mbappe has been regularly linked with a potential move to Real Madrid since breaking through with Monaco’s 2017 Ligue 1 title-winning team, but instead made the switch to PSG, initially on loan, and then for 180 million euros.
But since Zinedine Zidane’s return to the Real dug-out earlier this year, rumours about Mbappe joining his fellow Frenchman at the Santiago Bernabeu have intensified.