Can I go to Turkey to apply F visa to China to do my internship program?

I am a nigerian student currently studying in (turkish republic of north cyprus)TRNC. i want to apply for F visa to china to do my internship program but there is no Chinese embassy in Northern Cyprus. Can I go to Turkey to apply ? and if yes, which of the consulates. ANKARA OR ISTANBUL. Because i was told not everyone can can at the Ankara embassy in turkey.