The 24-year-old has been linked with a move to the capital after a string of impressive performances this season.
Martin, who won the first of his nine international caps against Ukraine in June, was also nominated for last year's Young Player of the Year award.
"I still dream of wearing the jersey of PSG," Martin told Le Parisien. "They are a team who are already playing for the title and who, in the years to follow, will again progress and reinforce with big names."
Martin has been at relegation-threatened Sochaux since 2002.