Cojocariu gathered 40 caps for Romania, from his debut in 1990 to his last game in 1996. He scored 2 tries during his international career, 8 points on aggregate. He was a member of his national side for the 2nd and 3rd Rugby World Cups in 1991 and 1995 and played in 6 group matches without scoring. He was also part of his national team for the historic win against France in Auch on 24 May 1990.