§1. The Catholic religious instruction and education which are imparted in any schools whatsoever or are provided through the various instruments of social communication are subject to the authority of the Church. It is for the conference of bishops to issue general norms about this field of action and for the diocesan bishop to regulate and watch over it.
§2. The local ordinary is to be concerned that those who are designated teachers of religious instruction in schools, even in non-Catholic ones, are outstanding in correct doctrine, the witness of a Christian life, and teaching skill.
Source: Code of Canon Law (Vatican.va)