ANSWER:

If its a segregated working environment and you abide by the proper Islamic hijab then no problem in doing it since you got your husband’s permission. But if you teach men as well or mix with men, this is totally prohibited even if your husband approves it as it is prohibited in Islam!

Your father in law’s approval or disapproval does not make any difference as he has no say in this matter. 

I got a lecturer job in a well reputed organization after chasing this dream for 18 years. My husband stands beside me in this scenario. He allows me to do this job but unfortunately, my father in law is refraining me from doing this job. He is not allowing me. What to do in this case? It is so disturbing for me.