As a youth, he played with Maccabi Tel Aviv and was marked early on as a future talent. By seventeen, he was leading the national U-21 side to Asian championships and by eighteen, he had been called up to the full side. In 1973, he fought with Maccabi manager, Jerry Beit haLevi over transferring to a club in France. He later left for France, returning in 1979 to rejoin Maccabi.
Spiegel began his career as a manager in Hapoel Petah Tikva in the mid-1980s . After several years he moved to Maccabi Tel Aviv, which won the State Cup. After problems with some of the players and a 10–0 defeat to Maccabi Haifa, Spiegel was fired. In 1989 he moved to Bnei Yehuda, which won the Israeli Championship in 1990. In 1993, he moved to Maccabi Haifa. The team won the Israeli Championship that year without losing a single game the whole season. Under his lead, Haifa won the State Cup twice, in 1995 and in 1998. In 1999, Spiegel returned to Bnei Yehuda and after one unsuccessful season with the club he moved to Ironi Rishon LeZion for two years.
In July 2007, after an absence of five years from the Israeli football scene, Spiegel was hired by Beitar Jerusalem as its general manager. That year, the team won the Double. In August 2008, he retired.