I was surprised to read that Oak Park does not allow overnight parking in areas outside the permit zones. Do other areas also have this rule? I know I have left my car for days in many area without a problem. See:
http://www.oak-park.us/Public_Works/Parking_Passes.html
Overnight passes are issued for on-street parking in areas not designated as permit zones. An overnight pass is issued for only one night and will be issued to the same car only five times in a calendar year. If you need an overnight pass for more than one night, you must call each night. An overnight pass does not allow daytime parking or override daytime restrictions that may exist. To receive an overnight parking pass call 358.PARK (7275), option 2, between 8 p.m. and 2 a.m.