The Blades want the panel to order a fresh disciplinary hearing against West Ham over the Carlos Tevez affair.
The Blades are claiming that West Ham should have been docked points by an independent commission for including third-party agreements when they signed Tevez and Javier Mascherano, contrary to Premier League rules.
Parry, incidentally, first drew attention to the rule breaches when Liverpool signed Mascherano from West Ham in the January transfer window.
The panel can order a new disciplinary hearing against West Ham, or that some compensation be paid to Sheffield United.
The three-man panel's main role is to see whether the correct disciplinary procedures were followed.