It will be fine. I've run Castrol dino 10-40 in both of my bikes at one point.
However -- I switched to synthetic motorcycle oil because both bikes shift a LOT better with it in there. The shifting was crunchy and clunky and imprecise running generic dino oil. I'd consider using motorcycle oil just for that if I were in your shoes. But if you can't afford it at the moment, the Pennzoil will not hurt anything.
You couldn't hear a dump truck driving through a nitro glycerin plant!
Badasses might screw with another badass. Nobody screws with a nut job.