La. Stat. tit. 33 § 2408
An employee may be transferred from any position in the classified service to any other position of the same class, or of any other class for which no additional or different qualifications are prescribed for original entrance, on recommendation of the appointing authority and approval of such transfer by the director, but no employee shall be transferred from a position in one organization unit to a position in another organization unit without the consent of the appointing authorities of both units concerned, except as otherwise specifically provided in this Part. The director shall continuously and actively interest himself in the possibilities for providing for improvement and economy in the service by means of transfers to effect adjustment of unsatisfactory conditions of employment and to meet variations in the work requirements of different organization units.
No employee shall be transferred from a position in one class to a position in another class of a higher rank or for which there are substantially dissimilar requirements for appointment unless he is appointed to the latter position after certification of his name from a list. Any change of any employee from a position in one class to a position in a class of a lower rank shall be considered a demotion and shall be made only in accordance with the procedure prescribed by R.S. 33:2423. An employee thus demoted may appeal to the commission under R.S. 33:2424.
La. R.S. § 33:2408