Real Madrid and Manchester City were among the teams linked with a move for the teenage sensation although that was on the basis PSG would struggle to fulfill Financial Fair Play criteria, which no longer appears to be the case.
“I will stay with PSG, continuing on my path with them,” the striker told reporters in Moscow.
“I am at the beginning of my career.”
With a starring role in France’s 4-2 win over Croatia, Mbappe was named the Young Player of the 2018 World Cup, a feat he put down to hard work and the quality of his teammates.
“I played as I always do,” he continued. “Scoring in a final is always unique.
“I have worked hard to reach moments like this, but this isn’t the end, we must continue. I have the ambition to go further.
“I’m prepared for this kind of thing but then you have to prove it on the pitch.
“International football generates a lot of pressure, but if you are sure of yourself and surrounded by great players, you can do things like this.”