He represented his native country at the 2000 Summer Olympics in Sydney, Australia in the men's bantamweight (54 kg) division. He lost in the first round to Georgia's Theimuraz Khurtsilava. Ramazyan won a bronze medal at the 1997 World Amateur Boxing Championships in Budapest. The next year, Ramazyan won a bronze medal at the 1998 Boxing World Cup. He also won a bronze medal at the 2000 European Amateur Boxing Championships in Tampere.