[Jeff Lee]

The foreign buyers will seek you out if they know your car is for sale. After that it's no different than anything else as those buyers will make all the shipping arrangements. You receive a bank wire transfer into your account for the full amount due, they make arrangements for a transport to pick up the car and deliver it to a port. From there it goes on a shipping container to a destination far, far away. Almost all transportation costs are offset to the buyer when the dollar is low.
FYI- never take a check, bank or otherwise, on an expensive transaction. Cashiers checks and other bank drafts are no forged. Wire transfer, cash or postal money order is the only sure thing. Never deliver until paid in full. Even credit cards used in full or part have an escape or refund clause for the buyer.