I always wondered this, as Iran was a big country even back then, but i never hear anything about them doing anything during them war.
They were occupied by the UK and the USSR in 1941
Persia was invaded by the Soviets and British Commonwealth in 1941
Here is the episode (probably someone found it but just in case), the cool thing about this series that I keep learning new stuff every week.
Here’s a thread of news articles and telegrams on the invasion: