The former Gunners and Blaugrana star has stated that he is interested in all aspects of the game, and would like to help the sport develop
The now-retired France international earned 63 caps during his career, scoring six goals, and was part of the World Cup winning team in 1998.
"Those close to me tell me that I am suited to this role," the 42-year-old told L'Equipe.
"I have been interested in all aspects of football for years and I came to a simple conclusion.
"More things are changing in the football business and [there is] a growing gap with the huge [fan]base," he added.
Incumbent holder of the FFF presidency is Noel le Graet who was elected in June 2011.