When signs have been erected at or reasonably near the corporate limits of the City as provided in 349.13, Wis. Stats., no person shall park any vehicle between 2 a.m. and 7 a.m. on Mondays through Saturdays and between 3 a.m. and 7 a.m. on Sundays from November 1 to April 1, except physicians on emergency calls, on any street in the City. Permission to park contrary to these provisions may be granted by the Police Department upon request for reason of emergency and unforeseen conditions, provided that such parking will not interfere with snow removal operations.