FIFA vice-president Jeffrey Webb believes black and ethnic minority players are not getting the relevant opportunities to coach and manage after they finish their careers in the English game.
Webb, who is also head of the FIFA anti-racism task force, stated that many non-white players are becoming "demoralised" over the issue.
Following Chris Kiwomya's decision to leave Notts County by mutual consent, there are now only three black managers in the top four divisions of English football.
Norwich boss Chris Hughton is the only black manager in the Premier League, while Chris Powell and Paul Ince both manage in the Championship.
Webb, who has held meetings with Jason Roberts and Yaya Toure during his visit of England, has called for the game to start reflecting the cultural diversity shown throughout the country's communities.
"There are a lot of young players coming through," Webb told BBC Sport. "I understand that more than 30 percent of the league is made up of people of African descent and over 71 different nationalities playing in the Premier League. But it's not reflected, they're not getting an opportunity [to manage].
"And many of them are becoming very demoralised and these are issues of course that we hope the FA will take on and that of the Premier League. The [English] game must reflect society and the community. It doesn't do so."
Webb's statement follows a period of unrest for the FA. A commission set up by chairman Greg Dyke aimed at improving the England national team recently received criticism for its lack of representation on the panel.
FA board member Heather Rabbatts slammed the commission for a "lack of diversity", although former England captain Rio Ferdinand and current manager Roy Hodgson have since been named on the panel.