If your sponsor won't give you an exit visa/permit, then call the Qatar Human Rights Council located on Salwa Rd., along Jarir Bookstore...

4444012

ofc hrs 7:30am - 1:30pm -- Sun - Thu

QHRC might ask you to visit them.

But nevertheless they'll help you get an exit permit if your sponsor wont give u one. As no one can refrain you from going out of the country and no one can dictate to you wherever you may go after Qatar...

Smile...