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.
I don’t know if anyone else has experienced this but I tried taking one of these on my own with no trap, the parapet continuously fake ran away and then returned. I loaded over 90 tranqs in to it and it never got close to going down even on a boosted server. So use a trap, I died many times to bring you this information.
Would not recommend trapping it near a rock I left surrounded by stone gates for a bit and the guy just got out so had to remake it but with a trap easy to kill or take even without one just make sure nothing else is in the area like 2 more of them or a t rex or raptors and just move back shoot it face with any shotgun and down goes the beast