Birch, who will judge the Accountancy Age awards to be presented at a gala dinner in November, is a former accountant with Ernst & Young.
Should he land the job he would be the second successive accountant in the role following Mark Palios, who resigned last month in the wake of a sex scandal involving himself, Sven Goran Eriksson and a former FA secretary Faria Alam.
A former chief executive at Everton, Leeds United and Chelsea, Birch has the necessary experience with football finance but it is not known whether he actually wants to take the job.
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Accountancy watchdog the FRC has dropped its investigation into the former chief financial officer of Tesco, nearly two years after the supermarket was engulfed in an accounting scandal
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