By your avatar you are male so to make your desire known schedule a meeting with the manger (if they are respected) and director same day different times (assuming they are the hiring manager). Say "I am very interested in the management position and will be applying when it is posted" "I would like to know what you believe the units biggest problems are, so I can begin to work on the solution". Some women will slam another women for being so bold but men can get away with it. To take that further it is expected. They opened the door for you, walk through it.
MBARNBSN is right "On the other hand, who cares? Do you want the position or not? If so, do your research."
As far as my story it is roughly the same as RNTX34.
Good luck and tell us how it goes.
Clearly my answer is not taking into consideration unit or organization politics, but my view tents to be Audaces fortuna iuvat - fortune favors the bold