The right-back has adapted to life well with the Welsh side since his move in the summer, and revealed that he has his sights on a spot in the 23-man squad for next year's tournament in Brazil.
"Can I go to the World Cup? Why not?" Theophile-Catherine told Sky Sports News.
"It is one of my ambitions to the go the World Cup with France. I am French and of course I dream, like all French.
"I am 24 years old and I am working hard to make it happen."
The Bluebirds take on Arsenal in the Premier League this afternoon.