Find one.

Chase it into a rock or cliff.

They are fast, do not underestimte them.

Hit them with anything until they are unconcsious

Feed berries.

Get a dilo to kill some stuff.

Craft a saddle with the hide.

Put saddle on parasour.

This was the first dino I rode, unfortunately, it was fairly slow compared to most others

More Parasaur Taming & KO Tips