The PySide2 module should be compatible with most of the Python features, and AsyncIO is one of them.

A clean integration should be possible at the level of our API, so we can expose an EventLoop that can handle the QApp and our own async methods.

A good example of this compatibility feature has been shown in the Quamash library which was developed to handle async calls with Qt applications (including PyQt and PySide)

UPDATE: Another module called asyncqt based on quamash appeared, which apply the same idea but for newer versions of Qt.

The details of this feature can be found on the PEP3156