Parker defends his WBO title for the first time when he takes on Fury in Auckland on May 6.
It's a chance for the unbeaten Kiwi to emphasise his credentials to the massive British audience as the heavyweight scene looks to sort out the top tier of talent.
McGuigan, the Irish featherweight who held the WBA and Lineal titles during a long period of dominance in the 1980s, already has plenty of respect for Parker.
