The 19-year-old has impressed since joining the Bianconeri from Manchester United last summer, scoring five times in 20 appearances and catching the eye of Dider Deschamps in the process.
“This is a very beautiful gift, I am still very happy and shocked. I am moved, so many people have sent me messages and I find it hard to realise that my dream is taking shape," he told RMC Sport.
Pogba, who has been likened to les Bleus legend Patrick Vieira, then revealed his memories of the national side growing up and noted several players from whom he drew inspiration.
He added: “Now, I must remain in the side for as long as possible. My goal is to stay in France team. I still remember 1998 and 2000.
“I had idols, [Zinedine] Zidane, Vieira, [Robert] Pires or [Thierry] Henry. There were many. It is an honour to wear this jersey."
Pogba will hope to feature for France in their World Cup 2014 qualifiers against Georgia and Spain.