Parker will defend his world heavyweight WBO title against Hughie Fury in Manchester next weekend.
The British Boxing Board of Control (BBBoC) has named British referee Terry O'Connor to control the fight, the same official in charge of Hughie Fury's last two bouts.
Parker has called for a netural referee for the bout describing O'Connor as a "home-town appointment."
Former world featherweight champion and boxing promoter Barry McGuigan visited Parker's training camp in London and also questioned the decision to appoint O'Connor to oversee the bout.
