Most parking in Paraguay is wherever a convenient space is found except in Asuncion where it is more closely regulated on account of the amount of traffic.
Paid parking is often unnecessary but in the cities you’ll find bays on the side of the roads in the centre which are controlled by meters or ticket machines.
Enforcement of parking is done by the police but infrequently. You will usually only be targeted if you obstruct a road or driveway.
Paraguay has no concessions for disabled drivers, mainly because convenient parking is found just about everywhere. In the cities it’s best to use attended parking or parking garages near your destination as they will be able to give better assistance.