I\'m trying to get Adwords Call Conversion tracking working on my site, using GTM. Everything is set up on the Adwords side (call extensions + call from website conversion)
As it turns out, the callback only runs if the visitor came from an Adwords ad, meaning you need to generate a paid click in order to test.
From the documentation, call tracking can be used to track:
"calls people make from your website after clicking your ad ..."
It's subtle, but it's there. In order to test, you need to click on your own Adwords ad. Then, save the URL (with the tags and such) so that you can use the same URL later to continue testing without generating more click fees. Possibly you don't even need to click an ad if you know what the URL is.
EDIT: The comment below from @dorian is so helpful I'm including it here for visibility, but please give him an upvote as well.
Probably a bit late, but there's an extremely helpful debugging mode which you can activate by appending #google-wcc-debug to the URL of the page where you have activated call tracking. Unfortunately this debug mode seems to be documented nowhere.