Stavropoulos was also a long-time member of the senior men's Greek National Basketball Team. With Greece, he played at the 1983 EuroBasket, the 1984 FIBA European Olympic Qualifying Tournament, and at the 1986 FIBA World Championship. Ηe was also a member of the Greek national squad that won the gold medal at the 1987 EuroBasket, while playing alongside such European basketball legends as Panagiotis Giannakis, Panagiotis Fasoulas, Fanis Christodoulou, and Nikos Galis. In total, he played in 102 games with Greece, and averaged 5.2 points per game.