He sold the company in 2009, long before Oculus existed. He intended to continue working there [1] and he did for several years. AFAIK he didn't start dabbling in VR until 2012 and didn't leave id until 2013, after attempting to work on VR stuff there for a while which was seemingly blocked, e.g. DOOM 3 BFG VR support which he promised but Zenimax never released.

[1] https://www.engadget.com/2009-06-24-bethesda-parent-company-...