Hi Hanna Sjostrom,
I just set up a Local Perspective map and the Esri World Geocoder showed up for me:
I have a few questions:
Is your application public? If so can you please share the link here.
Have you tried accessing this app from another machine?
Have you tried accessing the app after clearing the browser cache or in a Chrome Incognito widow?
What is listed under My Organization > Edit Settings > Utilities tab > Geocoding?