Abandoned vehicles in Cheltenham that do not affect traffic flow and are parked safely will not immediately be ticketed.
The borough council said it would adopt a "common sense" approach to vehicles left on streets or council car parks.
But they would need to be removed as soon as the weather improves otherwise they will be given a fixed penalty notice, a council spokesman said.
"Enforcement officers will remain on duty to provide advice," he added.
"The roads are causing treacherous driving conditions so we're asking the public to only use their vehicles if absolutely necessary and drive with great care."
"If a motor vehicle does cause an obstruction or is a hazard then enforcement will take place."
Salt supplies are running short but the council says it will continue to grit busy areas of the town centre.
"The Swindon Road recycling centre is closed and all refuse and recycling collections are suspended until further notice," the spokesman said.