"Gary has achieved so much in the game as a player with Manchester United and England.
"He has obtained UEFA coaching qualifications and will be tremendously respected by the players because of his vast experience as a player.
More top news
Greater Manchester Police said "inquiries are ongoing to fully understand the circumstances of the incident."
Business Secretary Greg Clark said talks with Peugeot's boss over a potential Vauxhall takeover were both "constructive and reassuring".
He served in Margaret Thatcher's Cabinet as Home Secretary in 1989 and was also a former Governor of Bermuda.