The move, in a decree signed by Pope Francis yesterday, clears the way for each of the 38 to be beatified, a step which involves being officially recognised as 'Blessed' and can lead to sainthood at a later date.
The Holy See also confirmed that Francis has approved the attribution of a miracle to a fellow member of the Jesuit order, the Irish priest and teacher John Sullivan (1861-1933), enabling him to also be beatified.
The bishop who was beatified, Vincens Prenushi, was the Catholic primate of Albania and rejected Hoxha's demand for the formation of a breakaway Albanian church.
He died in prison in 1949 after being tortured.
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Prennushi was among seven bishops who were either executed or died in prison under Hoxha. The Church says the regime was also responsible for the deaths of a total of 111 priests, 10 seminarists and eight nuns and the destruction of 1,820 Catholic, Muslim and Orthodox places of worship.
That prompted him to depart from his prepared speech and ask: "How were they able to resist?"
Sullivan, who was brought up a protestant in a wealthy Dublin family, is celebrated for his work with the sick and dying in the then-impoverished villages of County Kildare in the early 20th Century.
He taught at a Jesuit school in the area, Clongowes Wood College.
He was declared a 'Servant of God' in 1960 and made 'Venerable' by Francis, the first Jesuit pope, in 2014.
The move from being beatified to sainthood is not automatic. Sullivan will have to have another miracle attributed to him if he is to become the latest Saint John.
Beatification is possible purely on the basis of having died for the faith but promotion to sainthood requires a miracle.