Can. 827 §1. To be published, catechisms and other writings pertaining to catechetical instruction or their translations require the approval of the local ordinary, without prejudice to the prescript of can. 775, §2.
§2. Books which regard questions pertaining to sacred scripture, theology, canon law, ecclesiastical history, and religious or moral disciplines cannot be used as texts on which instruction is based in elementary, middle, or higher schools unless they have been published with the approval of competent ecclesiastical authority or have been approved by it subsequently.
§3. It is recommended that books dealing with the matters mentioned in §2, although not used as texts in instruction, as well as writings which especially concern religion or good morals are submitted to the judgment of the local ordinary.
§4. Books or other writings dealing with questions of religion or morals cannot be exhibited, sold, or distributed in churches or oratories unless they have been published with the permission of competent ecclesiastical authority or approved by it subsequently.
Can. 828 It is not permitted to reprint collections of decrees or acts published by some ecclesiastical authority unless the prior permission of the same authority has been obtained and the conditions prescribed by it have been observed.
Can. 829 The approval or permission to publish some work is valid for the original text but not for new editions or translations of the same.
Can. 830 §1. The conference of bishops can compile a list of censors outstanding in knowledge, correct doctrine, and prudence to be available to diocesan curias or can also establish a commission of censors which local ordinaries can consult; the right of each local ordinary to entrust judgment regarding books to persons he approves, however, remains intact.
§2. In fulfilling this office, laying aside any favoritism, the censor is to consider only the doctrine of the Church concerning faith and morals as it is proposed by the ecclesiastical magisterium.
§3. A censor must give his or her opinion in writing; if it is favorable, the ordinary, according to his own prudent judgment, is to grant permission for publication to take place, with his name and the time and place of the permission granted expressed. If he does not grant permission, the ordinary is to communicate the reasons for the denial to the author of the work.
Can. 831 §1. Except for a just and reasonable cause, the Christian faithful are not to write anything for newspapers, magazines, or periodicals which are accustomed to attack openly the Catholic religion or good morals; clerics and members of religious institutes, however, are to do so only with the permission of the local ordinary.
§2. It is for the conference of bishops to establish norms concerning the requirements for clerics and members of religious institutes to take part on radio or television in dealing with questions of Catholic doctrine or morals.
Can. 832 Members of religious institutes also need permission of their major superior according to the norm of the constitutions in order to publish writings dealing with questions of religion or morals. - https://www.vatican.va/archive/cod-iuris-canonici/eng/documents/cic_lib3-cann822-833_en.html
But since TradCaths determine the validity of the authority of leadership based upon their judgment of what past valid teaching is and means, then "competent ecclesiastical authority" only refers to those whom they approve. Which is actually not without precedent.
