The video was shown on the day of the game, which England went on to win 3-0. The Independent understands Kenny has been asked to give his account of the incident after a senior FAI official expressed their concern to the board.
Some Irish players were “shocked” by the content of the video, according to the Daily Mail, which first reported the news, although other sources told the paper the video was simply “pro-Irish”.
Kenny took over from Mick McCarthy in April. Last month his Irish side lost on penalties to Slovakia to end hopes of qualifying for Euro 2020 next summer.