What license will one need to fly the Aeromobil flying car in 2022?
Short answer: You will almost certainly need a PPL at least.
On the subject of licensing for flying cars, nobody really knows, because no company has even come close to bringing one to market - and the term &quot;bringing to market&quot; for a flying car involves all the legalities of certification and licensing.

The U.S. based Chinese-owned firm Terrafugia and AeroMobil are also attempting to develop a two-seat flying car called the Transition, however, safety and development of the law for flying cars are just two of the challenges that must be met before they become a reality and not just a novelty. The Transition is designed to operate both on land and in the skies.

source: Aviation Law: An Analysis of the Development of Flying Cars for the 2020s Decade
In terms of aviation certification the Aeromobil specifications state

Aerospace: CS 23 Rev 5/ELA 1 (EU) &amp; 14 CFR 23 Rev 5 (US)

That means for the US it is certified under Part 23 which will almost certainly need a minimum of a private pilots license. In the EU it is pretty much the same deal as many of the aviation standards/certifications around the world are based on ICAO norms.

Not that you asked for it, but in my opinion the only likely route to market for personal flying vehicles is ones where you're not doing the flying. One day I'm sure we'll have something like an automated Uber which ferries you A to B short distances. But something where you drive and fly is hugely unlikely.