Hello guys!
Lets talk a bit abuot ZOE.
Zoe is a mage with a OP high damage from Q.
After a little trainig, u should understand how to land this skill to erase ur opponent.
I hope this guide will be usefull for u.

I decide to take runes for sorcerry and persicion.
We need to have CDR to be create more dps. We need always to have enough mana. And to have a high damage. My runes can provide all of this must haves.

1st back.

I always go b first time, only when i have enoughe gold to buy lost chapter and boots + 1-2-3 HP potions. If u are good in CS it wouldnt be a problem for u.

2nd back

At 2nd back, i advice u to purchuase sorcerry shoes instead of continue Morello, because u will have a great early dmg with its magic penetration. Believe me.

Rush morello

When u have shoes, u need to rush morello, to have mana regen, CDR and AP and be effective at laning.

Rod

After morello u should buy rod to get +60 AP. It will give u a nice advantage in DMG. U should get it at 17-20 min, to be rly dangerous.

Lets talk abut a skills.
All Zoe's skills are skillshots. So u need to be good enough to handle with it. If u have some problems with landing skillshots, u should at first improve ur mastery, before u will get a good stats.

When u will have enough AP (near 200 at 18-20 min), u can easy clear waves of mage minions with 1 Q.

Lets talk about some combos.
Really we have only 1 main combo, wich can be use in different ways. (great ammnount)
The main idea is to make ur Q travel the longest way, before its face with enemy.
For example:
1) Land ur Q back for ur side, then run to ur enemy, use ult to get more distanse for Q, and redirect it to ur enemy.
2) U can use flash, jungle bombs, ghost, etc, to win more distance for more DMG from ur Q.
3) Ur 3rd skill can stole summs from ur opponenst. U can stole flash for example. Then u can use double flash, to win a great distance for ur Q, to bring madness DMG from it.

Zoe is a funny champ, but i think it wouldnt be another great MID AP Carry, as Syndra, or Ori. Zoe have only 1 heavy dmg skill, wich is not easy to handle. Thats why u should play it only for fun i think, or at low elo. Not in Gold + .
Pros:
- Heavy dmg from Q
- E - is a nice disable
- W - unique skill, allows u to have very much diffirent summoner spells during the game.
- can be hard to catched up, if u will use ure ult wise.
- can have nice escape potential with stolen summs
Cons:
- Only 1 rly dmg skill, thats why is hard to stay lane against champs with a rich spectre of skills (Vel Koz, Syndra, Victor etc)

Maybe in first 1-2 weeks it will be easy to play ZOE on mid, but then, people should read this champ, and could easy counter her. Maybe after that zoe will be a good supp, who knows.

Ok guys. Thank u for reading my guide. It was first guide for me. Sorry for bad decor of it. Hope that u dont waste ur time for nothing, reading it.
BB, GL HF