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.
These are great pets, animals don't want anything to do with you, with a long neck, everything comes after you. So my brother and dad went to the red wood forest with one of these and they were trying to tame a thylocoleo and NOT ONE even tried to attack them, they had to spawn cheat one instead, also these animals have amazing health
The best way to tame one of these dudes (on mobile) is with a trap How you make the trap is by place it 3 normal gates no doors then lure one in by punching shooting or agrouing it in anyway then once it is in side of those put gate behind it so it is trapped then tranq away.
tapejaras are GREAT for taming anything in the redwoods: allos, rexes, paracers, carnos, etc. just grab a longneck & tranq darts/shocking tranq darts (or tranq arrows if that’s your thing) and aggro the dino you’re taming. fly onto the nearest tree and land. fire tranqs down onto their head & you’ve got an easy KO. pro tip for anyone using godmode: pop some narcotics into whatever you’re taming, set the speed at 25% so the torpor drains super slow & spam the level up target button until their food is less than halfway depleted (it drains super fast when leveling up). just keep an eye on their torpor. you may have to pop a few more narcotics into them every 80 lvls or so, but if you give them 20 narcotics off the bat along with 25% speed, it’ll take a while for all 20 to be applied! i’ve tamed 600-700 lvl creatures with this starve tame method and they only need 1-2 kibbles most of the time. happy taming :D