The man called Amersham Station in Buckinghamshire at 6.45pm on Saturday.
His right hand got stuck in the metal teapot while he was washing it, a Buckinghamshire Fire and Rescue Service spokesman said.
Station officers used a tin snip tool to get the man's hand out within a few minutes.
The man was not injured.
The same station had to remove a snake that was caught in someone's bangle a few years ago.