I don't really see how parking is not a problem here!!!!
Parking at Hamad general hospital (usually when you go there you are really sick...right???) is a horrible experience that you might remember for many days to follow.
Parking at the city center is not even a possibility on thursday, friday or saturday or any holiday.
Parking downtown....just like any other downtown worldwide...you either get a ticket or get bumped into by some beginner trying to park their car.
Driving in Doha is horrible...once you're on the roads you will realise you are driving in Bombay.