A more relevant question would be, can the owner/renter of a self-driving car fight the company who sold/rented the vehicle that got a ticket for him/her?
Anyway, my point is that until we have truly, 100% automatic vehicles which take all liability for their actions, vehicles in semi-automatic modes will continue getting speeding and parking tickets.
Back in the 80's at my employer if the traffic wardens where seen one of the messenger boys would be told to drive the partners cars around the block until they had gone
Exactly how are dense and expensive Citys like London and SF going to build those "Huge automatic multi-story parking lots".
My car today already tells me the speed limit. It's based on detailed maps and works great. There are many challenges to self driving cars, knowing the speed limit isn't a huge one. If anything autonomous cars are the opposite of speed demons.