The listener URL depends on where your account lives, not where you are. Accounts default to the US region; if your app URL contains app.logz.io your account is US and you must ship to listener.logz.io:8071, not listener-eu.logz.io:8071. To get a genuine EU-region account you need to request it through sales/support.
Source: https://github.com/logzio/logzioawsserverless/issues/14
Source: https://github.com/logzio/logzioawsserverless/issues/14