WordPress can be integrated with Shorten.REST using Zapier here.
You will need to know how to use the Zapier integration with Shorten.REST.
There are also several other WordPress based apps Shorten.REST can connect with.
We have also designed our very own free WordPress plugin. The WordPress Branded Sharebox allows people to engage in social sharing via sharing buttons. Within those sharing buttons are links generated by Shorten.REST, which are designed such that you can track your clicks and your link activities.