Parking in the major towns and cities can be very difficult and it’s worth seeking out paid parking for safety and convenience.
In the big cities you’ll find paid parking, especially where some entrepreneur has opened their land for parking. Before the civil war there were parking lots and some parking garages but now people tend to park where they want as there are more pressing things to think about than a legal parking space.
So many people use the free roadside parking that enforcement of parking is considered unnecessary in general. The only time you’ll encounter it is when an obstruction is caused.
There are no concessions for disabled drivers in Syria despite the thousands injured in the civil war. In many situations there doesn’t need to be because parking is ad hoc. In the bigger cities where parking is at a premium, you’ll find more difficulty getting a convenient space but enlist the help of a local and things get easier.