Ezoic will only work on your live static site if you have connected a custom domain, it won't work on your static staging or preview site.
It is recommended that you use Ezoic's cloud integration by either switching your name servers to them or by using Cloudflare. The WordPress plugin is not recommended.
It is possible to encounter publishing issues when using Ezoic's CDN, such as missing images/pages/posts/sitemap updates on your live website. If this happens try clearing your Ezoic cache.
For further help please see the Ezoic help center.