My favourite tame! Easiest way to KO is to get it stuck on something. Occasionally they will spawn half inside rocks and when attacked won't be able to get out. Trang it and then mine the rock. Most animals won't attack a downed one anyway!
The only dino that'll agro an unconscious paracer is a Rex. So if those are taken care off and your cautious about not bringing in extra friend with you. You don't have to worry about other creature damaging your tame.