Heather Rabbatts, who is an FA board member, has written to other members on England football's governing body criticising the lack of diversity on the commission and saying the FA is letting down black players.
In her letter, she says she has tried to raise the issue privately but there has been a "refusal to understand" her position.
The letter says: "I believe that the lack of proper consultation on the make up of the commission, the fact that no approval was sought from the board...and the lack of diversity, have all meant that the opportunity to lead an informed debate on the future of English players has been damaged.
"I make the comments about diversity not because they are additional to this matter but because they lie at its heart."
The Football Association has given its "full support" to England football coach Roy Hodgson after he was criticised for a joke he made at half-time during a World Cup qualifier with Poland.
FA Chairman Greg Dyke said Roy Hodgson "is a man of the highest integrity, an honourable man who is doing a great job with the England team. He has and deserves the full support of The Football Association".
In a statement on the FA website, Dyke added: “He has made clear there was no intent to say anything inappropriate, and he was certainly not making any comments with any racist connotation. Importantly, he has apologised for any unintended offence that may have been taken."
The FA said it had not received any complaints from the players after talking to the squad "extensively" to determine whether they had any problems with Hodgson's behaviour.
“He has fully explained to us what he said and the point he was making to the players in the dressing room at half-time on Tuesday night," Dyke said.
"He has also explained the context in which he made his remarks."
Both Hodgson and captain Steven Gerrard were reluctant to comment on Dyke’s speech, insisting their sole focus was on the upcoming World Cup qualifiers which could determine England’s qualification for the tournament.
Speaking ahead of Friday’s qualifier against Moldova, Hodgson said: I don't have any thoughts on that [Dyke's speech.]
I presume if you're going to give the speech he gave, it's quite intelligent to have some sort of targets.
"I just feel 2022 might be too far in the distance for me anyway.
"Let's first of all qualify and let's try to get better before Brazil comes around, and let's do our best to win it."