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.
So this guy's are quite easy to tame you just need to build a 4x4stone foundation then stone dino gateways but don't put the last2 gates you need it to trap the paracer you also need large bear trap then after done putting all the traps find a paracer the color and level you like shot it one time of tranq arrows then wait for it to chase you then go near the trap after it traps to the large beer trap put the last2 dino gateway so it can't escape then enjoy taming your paracer btw they are good for travelling cause you can build a house on them sorry for some of my English
Here is a hard but easy way to tame a paracer. Go to a high point on the ledge of the tall rock in the Swamp next to redwoods. Get lots of tranqs. It might be hard, but keep on trying. Soon the Paracer will torpor run. You can shoot it in the swamp water, just make sure its not too high. Put loads of narcotics and berries in there. Have fun with your new mount. It's saddle is cheap, so you don't have to worry. I hope this helps!
I mostly to tame it i got real interested on getting one be cause of the platform saddle thingy even tho im lvl 64 i need it ._. So i took out all his friends and then shot him in the head with tranc darts (about 10)