He played for Hapoel Holon, Hapoel Givatayim, Maccabi Tel Aviv, and Hapoel Eilat. He was named to the 1992 Israeli Basketball Premier League Quintet. Elimelech also played for the Israel national basketball team in the 1977 FIBA Europe Under-16 Championship, 1983 European Championship for Men, 1993 European Championship for Men, and 1995 European Championship for Men.