You can using the
teamserver deploy API: https://docs.mendix.com/apidocs-mxsdk/apidocs/deploy: operation retrieve apps
Upside is that it retrieves the name from the appname-owner. You can schedule a Appname-retrieval call every once in a while and store the returned name in your module's database in App/Name. Just to prevent this call happening all the time.
Downside is that after adding your module to an Application, you will need to set API-keys needed for the request.
But if you also supply an option to manually change App/Name, in runtime, then your module-users have the option to use it without having to supply the API-keys.
Well to be more precize – I mean not the “HTML Title” but the real name of the application as a project from the TeamServer.