The defender admits it will be difficult to convince Didier Deschamps to recall him for international duty, but is determined not to turn his back on les Bleus
The 30-year-old has just two senior caps to his name and was overlooked for the World Cup by coach Didier Deschamps this summer despite an impressive campaign with Valencia.
While he admits it will be difficult to convince Deschamps to give him another chance with les Bleus, Mathieu is confident he is now at the right club to catch the eye ahead of Euro 2016 in his homeland.
"I always hope, but it will be difficult to convince the coach," he told Le Figaro. "I had hoped for the World Cup, but it didn't happen.
"The France team is always in the back of my mind. It's up to me to perform well at Barca.
"At the same time, I think Deschamps will probably keep faith with the players he had at the World Cup."
Mathieu, who joined Barca for €20 million this summer, could make his official debut in the Blaugrana's opening La Liga clash of the season against Elche at Camp Nou on Sunday.