Q:

the noun form of 'we are under the department of XXX'

The meaning I want to deliver is: 
We need to tell the school that we are from the department of education when we approach them.
But since I want to present it in a proper way, I plan to write something like below:
Staff members are reminded to clearly state their affiliation with the department of education while having phone conversation.
I think affiliation with the department of education is not the right phrase, any better suggestion?

A:

"Staff members are reminded to clearly state their connection with the Department of Education in the course of any phone conversation with [an interlocutor]".

