I like ‘zooko’. I understand others call it ‘zatoshi’. What would you call 0.00000001 ZEC?
Edit: we’re getting a lot of entries, so everyone heart your favorite nicknames below, and we’ll get the most hearted entries into a poll next week (Nov.6ish).
I kinda like the sound of zatoshi as well. 
Maybe zootoshi?
zookoshi?
Not bad though, the sounds zoot and toshi do seem to go together, for good or ill. And there's a common diminutive trend that fits with naming something small.
Zit - one Zcash bit.
a zook - one Zcash bit
How about.. one Zip or one Zilch?
one tromp or one xenoncat
I like the journey you took, but I am not fond of that destination.
Zatoshi makes the most sense.
Zcash should differentiate itself vs being a copycat.
zcoin
.01ZEC = 1 million zcoins...
The name should be Omegas
Z is the last alphabet symbol in English
Omega is the last alphabet symbol in Greek
Ω is the symbol
It can also be written Ωmega
Just a thought...
How about a snark?
Since that's the defining thing about zcash.
I'm afraid zcoin is already a thing...
Like your thinking. SNARK is an acronym for Succinct Non-interactive ARgument of Knowledge, but it could be a SNAK too, and I think SNAKs would be a delicious little name for a handy little unit of ZECs. Or even ZNAKs to cram the zero knowledge part in and put the Z identifier front and center.
But this is a larger thing...
hahaha
I also like z's.
zit is nice !
(20chars)
Zashes maybe or something similar
1 Zergling
I think there may be some trademark issues with that one 