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.
Since it’ll only aggro if you attack it, you can tame it pretty easily; find one in a safe enough area and box it in using stone dinosaur gates. They can’t break stone and they can’t fit through the gates, so it’s stuck in there. I only needed four gates but bring a few more just in case it doesn’t stay still. After that, just get a safe distance away and start shooting tranq arrows at it. You’ll need a good few, but once it’s down everything should be okay. I gave it a stack of carrots and kept an eye on it, ended up giving it about 7 narcotics total and after about 20-30 minutes it was tamed with a relatively decent bit of time left unconscious otherwise
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.