During a developer livestream, the Microsoft Flight Simulator team detailed Sim Update 5, due out the week of April 20, that will include PS VR2 support.
Jorg Neumann, the Head of MSFS, specifically mentioned PS VR2, saying the update has already passed Sony certification. He added that there are two to three "must-fix" bugs that have to be addressed before the update can be released, but he and the team are confident this will happen within the next week.

Sim Update 5 will also bring the first batch of third party content to the PlayStation 5 Marketplace, with more add-ons to be available as they pass Sony's quality assurance requirements. A new weather radar will also be introduced that includes tilt functionality.
The full, wide-ranging livestream can be viewed here and there is a summary on Flight Simulator's official website.
Microsoft Flight Simulator 2024 is available now on PlayStation 5 with PS VR2 support coming soon.