Mbappe has scored 17 goals for Monaco this season – including six in his last four games – to help them reach the Ligue 1 summit and the Champions League quarter-finals.
His form has garnered attention from overseas, with Manchester United and Arsenal among the clubs reportedly tracking him.
However, the 18-year-old insists he does not pay attention to the media and is focused on performing for his current employers.
"Sorry, but I do not look at what the English press say. I remain very calm about the attention I get," he said.
"I get up in the morning and I go to practice like everyone else. I try to work to improve myself every day and I try to do on the pitch what I do during the training sessions."
Mbappe was rewarded with his first senior call-up by France boss Didier Deschamps, but he insists his form is nothing special.
Read the full article on eurosport.co.uk: Mbappe on rumours: ‘I do not look at what the English press say’