The 19-year-old Chand was disqualified from competitions last year by the Athletics Federation of India as per IAAF's hyperandrogenism policy after tests revealed that her body produced natural levels of testosterone above permissible range.
She has a condition called hyperandrogenism and her body produces natural levels of testosterone so high that they place her in the male range in the eyes of international track and field.
The landmark case against the IAAF and Athletics Federation of India started today and is expected to last up to four days.
The CAS listed the appeal on its website to be heard from March 23-26 and reports said that a final decision may take time to come.
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"A final judgement could take weeks or even months," a report at the BBC Sport said. CAS hearings are not open to public.
At the CAS hearing, Dutee's counsels include some well known international experts like James Bunting and former Justice of the Canadian Supreme Court Morris Fish. Dr Payoshni Mitra, a research consultant on gender and sports issues, who has been working with Dutee, is also with Dutee here.