Zidoo have omitted Google Play Services intentionally (same as Dune with their latest products). It runs in the background and can cause problems (stutter / missed frames) with media playback on all Android devices. Zidoo products are primarily media players, by omitting Play Services Zidoo have optimised their product for this purpose. There are alternative app stores which can be installed and which do not have the system baggage of Play Store. e.g. https://en.aptoide.com/
There will be an option to install Google Play Services in future Zidoo firmware (effectively the same as installing the apk at http://forum.zidoo.tv/index.php?threads/google-play-kit-for-z9s-z10.12542/). In the meantime it can be installed using the .apk in the Zidoo forum thread.