On an open track day/ race day does the track require any special permits to setup small cameras on the interior of the track?

You'll probably need to call the track and inquire about this,each event has different rules.

I agree. Call the track. I cannot as a spectator speak for them.

Daniel R. Is right. But it wouldn't hurt because each event has different rules an restrictions.

Inside camera has ro be securely mounted. Track cameras have to be approved.and camera men too.