Mbappe, who formally joined PSG on July 1 following a season on loan from AS Monaco, responded to a question about his commitment to the capital-city team by saying, "Of course. One hundred percent," according to ESPN FC.
The forward is fresh off winning the World Cup with France, as well as receiving the FIFA Young Player Award after scoring four goals.
However, Real Madrid released a statement denying links to the 19-year-old phenom during France's participation in Russia.
Mbappe joined PSG last summer after the Ligue 1 champion reached an agreement with Monaco over a fee reportedly worth €180 million. He went on to score 13 goals in 27 league appearances before becoming the youngest player to find the back of the net in a World Cup final since Brazilian legend Pele - who scored in the 1958 title match.
Mbappe revealed last year that he spoke with Real Madrid before his lucrative transfer to Paris.
"There were many rumours of a transfer, it's true that we spoke, but I think that's now in the past for me and for Real Madrid," he said.