For taming a Parosaur you should try to find one farther away from water, it's not fun trying to chase one down on foot just to have it go in the water. If you have a group of people with clubs try to hit the Dino in the direction of a cliff, the Dino will get caught against the cliff/rocks and you can simply put it to sleep. If you have traqs then do the same but it will be slightly easier. Don't worry if you don't have narcotics, the Parosaur can easily stay down just with narco berries. After the few minutes you should have a great starter Dino/egg layer.
Are you a new Ark player? A Tipp for you. He is fast... faster than you. The best way is craft Bola and Bola the Parasaur. Knock out and feed it with Berries. Dont miss nacoberries... Good you tamed it! Craft a Parasaur saddle and ride it! Good luck. (pls vote 🔼 to beginners see this)