Chatzivrettas was a member of the senior men's Greek national team. With Greece, he played at the EuroBasket 2001, the EuroBasket 2003, and the 2004 Summer Olympic Games. He also won the gold medal at the EuroBasket 2005, and the silver medal at the 2006 FIBA World Championship. In addition to that, he also played at the EuroBasket 2007.