Originally Posted by Dave Noble

There is no reason for Hertz to work with anyone else, it is up to you to deal with your insurer; you are the one liable for the damage to the rental vehicle

With my American Express card, all I have had to do is fill in details on claim site and attach a copy of the charge from Hertz and payment has been received within days

If your insurer will not accept the invoice provided from Hertz, that seems to be a problem between you and the insurer rather than an issue with Hertz