Barry-Murphy has enjoyed an excellent first six months at Cardiff, leading the Bluebirds to the top of League One and instilling an exciting brand of attacking football.
The Welsh club maintained their three-point lead at the top of the table with a 1-0 home win over Wigan Athletic on Sunday.
Former Manchester City Under-21s boss Barry-Murphy chose to focus on Cardiff matters after the game, rather than reported interest from France.
“I didn’t really know about it [the speculation], that’s for sure,” he added.
“I think we can improve a lot, and the players are also very excited. To win three and draw one of our four games in this 10-day period is something that I’m very grateful for.
“We just focus on ourselves and try to keep improving all the time.
“I’m so pleased with the players and how they are doing that. I feel very lucky to be with them.”
