"any teachers" is correct and usable in written English.
You can use it whenever you need to refer to multiple teachers. For example, "I've asked any teachers in the building to help with the project."
Ms. Cogger did not tell any teachers.
But parents could not find any teachers or staff members.
Any teachers or parents reading this will agree.
Conduct tutorials for any teachers who accept your invitation.
She was better than any teachers I'd ever had to that point.
I didn't like it; I didn't have any teachers to talk to.
There are no formal classes in this summer school, nor any teachers per se.
Under the current trajectory, we will not be able to train any teachers.
"I never had any teachers, but I was somebody who always asked 'why?'" says Adria, "I was always questioning myself.
I texted my dad the news (not during school, for any teachers reading), and he called the school.
"They neither help any teachers to get better nor point to teachers that should move out of teaching".
