save me from

To save something and to save someone/something from someone/something are two different constructions and involve two different meanings of the verb save.

To save something means to keep or retain something - eg

She's trying to save money
She saved the file on her computer

To save someone/something from someone/something, on the other hand, means to protect or rescue someone/something from someone/something :

The phone rang and saved me from needing to reply immediately.
They raised enough money to save the house from demolition but not to renovate it.
A man was saved from drowning in Eyemouth harbour on Saturday.

In your sentence, presumably the teachers have been bombarded with unnecessary and time-consuming emails when the information required is readily available on the internet or something - so it would be the second meaning (protect/rescue) and from is obligatory. The text would read something like :

Full information on XXX is available at http//:etcetc. Spread the word, and save your teacher from emails asking about things you can find on the school website.

You'd need a different context for the first meaning (keep/retain). Eg :

Do you have any non-confidential emails from friends that you could forward to a group of our teachers who are researching the language used in informal messages? If you do and could send them to us, we'd be very grateful. Spread the word - save your teacher emails!

I doubt if that is what is intended in your extract but it is possible. As always, knowing the context of a sentence is essential in order to make definitive statements about language.

Excellent answer. Thank you.