In my company in Belarus we had a argue about how would be sound right on international level - director of foreign trade or international sales manager? The man is head of the company.
What is the company size and what does the head of the company do?
Company not so big, about 15 employ. The head of the company does a management oh the company, he gives orders to all employ and he is in the same time the founder of the company.
What you described is a general manger.
a director of foreign trade would handle overseas import/export, etc.
and international sales manager would manage a team of salespeople.