He was also a descendant of Rabbi Abraham Chazan of Girona, a contemporary of Nachmanides, and the author of the liturgical poem "Ahot Ketana".

In 1813, Chazan made aliyah to the Land of Israel and settled in Hebron with his student, Rabbi Bechor Esturgo, and served as head of the rabbinical court for several years.

He was joyously welcomed by the Hebron rabbis and celebrated by the Jewish community in Livorno, who lit synagogue lamps in his honor.

Despite his old age and illness, which prevented him from eating hard foods, Chazan remained dedicated to Torah study, expressing gratitude that his vision and ability to learn were unaffected.

He passed away on 23 Cheshvan 1820, in the presence of his son, Rabbi Eliezer Chazan, and was buried in the Mount of Olives Jewish Cemetery in Jerusalem.

His four sons, Elijah Rachamim, Eliezer, Isaac, and Chaim David, were all rabbinical scholars; one of his daughters became the mother of Ḥayyim Palaggi, chief rabbi of Smyrna.