The 49-year-old has blasted the former AC Milan player for his lack of improvement since the promise he displayed as a youngster, but states he can still become a success
The former France international, who appeared 23 times for his country, believes the 26-year-old is not the man to drag the club back to the top of Ligue 1 and feels he lacks the mental attributes to be relied upon.
"Having done what he had at Bordeaux, I expected him to move to a team challenging for titles that he would help become champions," Di Meco told RMC Sport.
"Gourcuff is not someone who leads a team and takes them to the top, like Lyon are asking of him. He doesn't have the mentality to do that, but if he has a coach that trusts him and if he is in a good environment then he can flourish."
Lyon currently lie third in the Ligue 1 table with 21 points from their opening 10 games, leaving them just a single point adrift of leaders Paris Saint-Germain who have played a game more.