Diminished Value For A Leased Car
You can get money for a diminished value on a leased car, but its not really a diminished value claim.
It is an out of pocket property damage leasehold loss. If your car is damaged by a third party you may get less money and charged with the diminished value when you turn the car back into the car company who leased your car. If you have the car appraised by a diminished value appraiser and then turn the car in whatever the owner takes off because of the damage would be the amount you could recover.
I recommend you consult a lawyer before you get the car appraiser on board because the appraiser will need to evaluate what the leasing company will ding you plus the diminished value evaluation.
