Another teacher, Andrew Ray Loader, who paid to watch teenagers having sex, also remained on the register.
Ms Parata said commonsense needed to prevail in such situations.
The Teachers' Council disciplinary tribunal is able to impose a range of penalties, the harshest of which is cancellation of a teacher's registration.
Other penalties include an annotation on the teachers' register and suspension of a practising certificate, either for a period of time or until conditions are met.
Teachers who have not been referred to the tribunal for a conviction can also be fined up to $3000 and ordered to pay costs.
However, Parker's conviction means those penalties are not available to the tribunal should it find against him.