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.
Note that a Paracer can NOT damage stone. Build a fair sized trap and lure it in. I used my base walls since they are very large, but a normal Dino gate room should do the trick. After that, fire away from safety.
Use the area on the last page to make a paracer trap. Attack him with crossbow tranqs only once. You need 8 extra wooden walls. Stone works too. Thatch is too weak. Put them on the holes and tranq him away. once knocked out break a fence and feed. Works extremely well,if you can get him in!
My tribe lives in the redwood/swamp in the center and we always have pain in the butt titanboas following us and ko us put with the paracer the snake are piece of cake and if u have a good pvp base built on the back ur set