The form of the oath appeared in the articles of war:

ART. 10. Every non-commissioned officer or soldier, who shall enlist himself in the service of the Confederate States, shall, at the time of his so enlisting, or within six days afterward, have the Articles of the government of the armies of the Confederate States read to him,and shall, by the officer who enlisted him, or by the commanding officer of the troop or company into which he was enlisted, be taken before the justice of the peace, or chief magistrate of any city or town corporate, not being an officer of the army, or, where sources cannot be had to the civil magistrate, before the judge advocate, and in his presence, take the followin oath or afformation: "I, A. B., do solumnly swear or affirm (as the case may be) that I will bear true allegiance to the Confederate States of America, and that I will serve them honestly and faithfully against all their enemy and opposers whatsoever; and observe and obey the orders of the President of the Confederate States, and the orders of the officers appointed over me, according to the Rules and Articles for the government of the armies of the Confederate States." Which justice, magistrate or judge advocate is to give the officer a certificate, signifying that the man enlisted did take the said oath or affirmation.

The full set of regulations are found here --
http://www.geocities.com/capitalguards/CSARegs.pdf