Double apostrophe-s? [duplicate]
Solution 1:
No.
It's best to avoid such constructs entirely, and (as this site and others recommend) create the possessive with a prepositional phrase like the parking at McDonald's.
Solution 2:
I would use the following type of construction:
I left the car in the McDonald's car park/parking lot.
Solution 3:
I'm tempted to suggest you call it the McParking.
But joking aside, the important thing is that the institution concerned displays its name as McDonald's. So before considering such as 'the parking', the employees or the lavatories, it is worth noting that it is already in possessive form. And it is a singular possessive.
What is being possessed at this point is clearly just the establishment itself. And since it is a singular possessive one would technically be correct therefore if, let's say in writing them a cheque, to name the payee simply as McDonald. Though whether the bank paid against it is another matter. The staff might insist you wrote an apostrophe-s. (All that is based on the unlikely possibility they accepted payment by cheque).
So if one is referring to something at McDonald's, I would simply write McDonald's blissful ambiance or to answer your question McDonald's parking.
I know it is hard but, their singular possessive suggests we should all think of this McDonald as a chap (or maybe a chappess)! Because they write the name as if there was only one of him or her.