It may sound very trivial, but when Zhin enters his counter stance, stop attacking him immediatly, or, if you play an area damage champion, try to aim for his back or sides!
Try to burst Zhin. When he uses Counter, run to a safe distance, then open fire like hell. Additionally, his attacks are very inconsistent, so if you are a character with a burst type weapon, you will usually win.
Don't feed a Zhin's counter when he has the counter legendary! Treat it like Androxus' reversal, but one that can be done twice in a row. When you see a Zhin in counter stance go for one of his other teammates instead.
Zhin is probably the best champ at close range 1v1 especially against any flanks. Because he can become invincible and run if he can't win. Try to follow him and take him down when his billow ends or if the player is too good try to flee from him