He entered in the monastic Order of Saint Basil the Great in 1741, and in the same year he was sent to study in the College of the Propaganda in Rome.

[2] When in 1745 he got his doctorate in theology, he could not return in his monastery of Marča (located near Ivanić Grad) because it was taken to the Serbian Orthodox Church, so he was sent in Poland to teach philosophy.

On 4 September 1759 Božičković was appointed eparch (bishop) of Marča, i.e. apostolic vicar for the Greek Rite population under the Latin Archdiocese of Zagreb,[2] succeeding to Gabrijel Palković, and on 11 November 1759 he was consecrated bishop in Máriapócs by M. Olsavszky, Eparch of Mukachevo.

[4] On 17 June 1777, Pope Pius VI, on suggestion of the Habsburg monarch Empress Maria Theresa, erected the Greek Rite Eparchy of Križevci separating it from Latin Latin Archdiocese of Zagreb and superseding the previous Eparchy of Marča.

Božičković, who played a prominent role in the erection of the eparchy, was chosen as first eparch, and so formally appointed on 23 June 1777.