The papal nuncio had a major role in the selection of Canon Crean as successor to Bishop John Magee.
Bishop Magee stepped down from the role four years ago following outrage at his handling of clerical sex abuse complaints in the diocese. He later resigned.
The Diocese of Cloyne has refused to confirm or deny whether the former private secretary to three popes has been invited to this month’s ordination.
The diocese’s caretaker bishop since Bishop Magee stepped aside, Dr Dermot Clifford, the archbishop of Cashel and Emly, will assist Archbishop Brown at the ordination ceremony at Cobh Cathedral as will the bishop of Kerry, Dr Bill Murphy.
Up to 150 priests from the dioceses of Cloyne and Kerry are expected to attend the ceremony on Jan 27 at 3pm.
All the priests of both dioceses were invited to attend the Mass, as were former classmates of the bishop elect, who has been parish priest at Caherciveen, Co Kerry, for the past six years.
Another 800 invitations were extended to Cloyne parishioners with the totalnumbers offered to each parish dependent on its size.
Representatives from the other Christian churches will also be invited to the ceremony which will be part of a regular Mass.
The bishop will be presented with his mitre, crozier, and ring, and will also be greeted by representatives of his new diocese.
A webcam in the cathedral will also allow parishioners to watch the ceremony live online.
Canon Crean is aged 61 and had been widely tipped as a future bishop of Kerry.
A native of Tralee, the bishop-elect comes from a large family and his brother Tom is parish priest in Kenmare.
Canon Crean attended St Brendan’s College, Killarney and St Patrick’s College, Maynooth, before being ordained in 1976.
He continued his studies in Rome before returning to the Diocese of Kerry, where he served as curate in Glenbeigh, Killorglin, and Tarbert. He then went on to follow in Bishop Murphy’s footsteps when he was appointed director of the John Paul II Pastoral Centre in Killarney.
Canon Crean was a founder-director of Radio Kerry in 1990.
He continued to serve on the board of the radio station, in which the Diocese of Kerry has a significant shareholding.
He went on to become diocesan adviser to secondary schools and director of adult religious education in the Kerry diocese, before furthering his studies in Dundalk and at the Weston School in Boston.
He was later parish priest of Castlegregory, before transferring to Caherciveen in 2006.