Andrew Demetriou, the AFL's incumbent, announced his resignation from the top job on Monday, with his 11-year term coming to an end at the conclusion of the 2014 season.
With Demetriou's departure imminent, the AFL Commission will start the search to find his successor.
The commission is charged with finding the best person for the job, and Brayshaw is mystified as to why the League would not appoint McLachlan immediately.
"I wonder why you'd spend seven years grooming someone, and spend a lot of time keeping him away from the NRL, and not give him the job when it comes up," Brayshaw told Melbourne radio station SEN on Tuesday morning.
"When you've got such a high quality candidate sitting there, why would you bother with any of that. Just appoint him."
McLachlan is the odds-on favourite to assume the job, and Brayshaw believes he has the right credentials to take the most powerful position in Australian sport.
"I think he's outstanding, Gill. He's got an enormous amount to offer the organisation β he understands it back to front β and he's got great respect at club land, certainly at our footy club."
Brayshaw said it was a waste of time for the commission to go through a process to find likely candidates when the right man was staring them in the face.
"Iβm not really sure why you'd go through a process when you don't have to. I know we wouldn't at North Melbourne, if and when you've got the right person to take over any role," Brayshaw said.