To obtain an audience with the Archwizards of the Mage Tower's 12th floor, there was only one surefire that guaranteed success.
That is, to climb to the 12th floor yourself.
Naturally, as the tower functioned in a systematic hierarchical structure, no one aside from the Archwizards themselves possessed the authority to summon a resident of the 12th floor for a meeting.
Aside from exceptions such as transcendents or some other equally powerful existences, no calls for a meeting would even reach their ears, let alone be cause for consideration.
From what I've heard, even royalty is not excluded from this harsh criteria.
Unless you have the ability to make it to the 12th floor yourself, you would not be able to force a discussion with the Archwizards.
Although, if it were someone at that level, there would be no need to talk in person with the Archwizards in the first place.