Yes, Sifter does integrate with Zapier which allows you to integrate Sifter with 300+ apps. Here's a list of the apps supported by Zapier.
Zapier works by allowing new issues in Sifter to act as triggers for actions within other apps. There are endless possibilities thanks to filters and the number of apps supported. And, it's free to try.
Here's how to use the Sifter integration in Zapier.