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.
When knocking these guys out, DO NOT UNDERESTIMATE THEIR SPEED. Even though they are slow they can easily catch up with you. I learned the hard way by trying to back pedal it like a bronto, but it hit me and got me down to half health. When I started chasing it, I thought I was about good, then I ran into a lvl 115 carno that would've killed me if I didn't have my therizino close by. While I was being chased, the paracer passed out, so all I had to do was kill the carno and feed the paracer.
(This should probably be in stories but at the same time it's kind of a tip...)
These guys r a super easy tame! Even if you are low level and haven’t unlocked the saddle yet, def tame it as it will be great protection for the base if smth strong comes. I have one called Barry and I take him everywhere!
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.