In the US, they have these massive lots that are spread out over an area often larger than the store itself. The obvious thing to do would charge for parking with the Japanese system, and use the proceeds to help offset the initial costs, just like with a toll highway or bridge.
However, the "God-given Right to Free Parking" mentality would never allow it to work, and the local governments are too weak to try to impose it. Every city has a ring of malls outside of it not just for cheaper land, but to escape any form of regulations from the city itself. This is a "risky thing", and businesses don't like risk.
It would take a very careful marketing campaign to be able to kickstart something like this. I doubt many places have the leadership required.