Investigators from the International Ski Federation (FIS) last month banned 36-year-old Vanessa Vanakorn, known as Vanessa Mae, after it was found that results were manipulated during trials in Slovenia to enable her to compete at the Sochi Games.
CAS confirmed on Thursday they had received an appeal from Mae.
"Two arbitration procedures have been opened and are being conducted in accordance with the Code of Sports-related Arbitration," CAS said in a statement.
Mae, a former child violin prodigy born in Singapore to Thai and Chinese parents, but who grew up in Britain, was given a four-year ban from participation in any FIS-sanctioned events worldwide.
As Thailand's first ever female Olympic skier in the Russian resort of Sochi in February, Mae — racing under her father's surname Vanakorn — made headlines and added a splash of glamour to the event.
Prior to the Games she had trained extensively at the mountain resort of Zermatt in the canton of Valais.
But unlike her successful music career with millions of albums sold, her performance on the piste as one half of the Thai team was underwhelming, coming 67th and last in the giant slalom, far behind the rest of the field.
"I expected to be last but at the end of the day the Olympics is a great opportunity," she said at the time.
"I nearly crashed three times, but I made it down and that was the main thing."
Mae has described music as her "lifelong passion" but skiing as her "lifelong hobby".