Sorry, I saw your post after publishing mine… Our official Chrome application, “Ledger Wallet Bitcoin” now supports Zcash and a few other popular alts, you just need to update to 1.6.10 (which should be automatic, just close/reopen the app).
The Zcash Nano S applet is mandatory and will be released on our app store (“Ledger Manager”) next friday! Make sure you are running the latest firmware version before installing the Zcash application on your Nano S.
Link: Zcash support is coming to Ledger Nano S this week!
Ledger Manager: Ledger Live : Most trusted & secure crypto wallet | Ledger (Zcash will appear in the app list friday morning)