You wouldn't need to remove integration.
Have you already copied over the website files to your new hosting server?
Once that's done and you are ready to make the switch, you'd just need to go to Settings -> DNS in your Ezoic dashboard and update the DNS zone records (A, CNAME, etc) to point to your new host. In particular, you will need to delete the old ALIAS record pointing to Ezoic WP Hosting and update the A records with the IP address for your new hosting server.
Updating the DNS records to match your new host is similar to this process: https://support.ezoic.com/kb/article/how-to-switch-hosting-providers.
After updating these settings, your site should be working fine with your new hosting.
You may also want to consider the BigScoots hosting offer. They can take care of the transition for you.