He served also as a teacher in Klecza Dolna and in Warsaw from 1924 until 1927 when he was sent for theological studies at the Pontifical Gregorian University in Rome where he was stationed until 1931 upon earning his doctorate.

He accompanied Wyszyński on his first "ad limina apostolorum" visit to Pope Pius XII in April 1951 just before Baraniak would be named as a bishop.

[4] The torture included tearing his nails off and keeping him naked in ice and feces for prolonged periods and he was even refused food and medical care as well as visits and correspondence.

The communists had a particular emphasis on learning about his time in Rome as a student and the relationships he forged there believing them to be of an "espionage nature" and the internal affairs department monitored his conversations.

[4] Baraniak later accompanied Cardinal Wyszyński to another "ad limina apostolorum" visit to the pope that was held on 14 May 1957 just a couple of weeks before his archiepiscopal elevation.

In the first session of the Council he was elected as a member of the Oriental Commission and presented a proposal for the revision of the liturgical calendar while he contributed to the drafting of Dignitatis humanae.

Baraniak's reputation for holiness and the nature of his life and tribulation has prompted calls for him to be beatified with 3000 signing a petition asking for the competent ecclesial authorities to launch the process for his beatification.

[4] Archbishop Stanisław Gądecki announced on 6 October 2017 that he would make the request to the Congregation for the Causes of Saints to launch the process which would begin in Poznań.