Is it necessary a integration test for a Cron Job?

I have a Cron Job in JAVA; It's a component that executes a bash task every 3 hours. I'm using a distributed architecture. So each component is Independent the others. To validate the correct integration of the components I'm doing integration test.

Remember that i have a Cron Job; So no one calls it, it's standalone and it doesn't need from others one to run

What is the correct manner to create a Integration Test for a Cron Job? or Is it necessary a integration test for a Cron Job?

Bye