Block of a path with stone pillars, lead it into the pillars( close enough together that only you can slip through). While it attacks the pillars tranq it with tranq arrows and a crossbow- you don’t really have to wait between shots since it’s health is really good (800ish for lvl. 1). If it’s a level one, it goes down fairly quick. Taming process can take an hour or two. For me, it took about 160 narcotics, so be prepared. Be careful though, majority of tickle chickens are in dangerous areas and it’s hard to lure them out. Good luck!
If you want to knock it out effortlessly, place a wooden cage and lead it towards the cage. It will start attacking the cage. You can shoot it with tranq arrow and BOOM! You have made it unconscious. Also, it eats berries.