Application for a part-time job

I am an employee of an educational institution, from the territory where hostilities are taking place, distance learning, the management "offers" to write a statement that I agree I am an employee of an educational institution, from the territory where hostilities are taking place, distance learning, the management "offers" to write a statement that I agree to work on a part-time basis, what is the legality of such a decision? Should management have warned? And what to do with such a request? What is the legality of such a decision? Should management have warned? And what to do with such a request?