The warm-up games will be played on March 6 and 8 in Mumbai.
Patil is a T20 specialist who has played 27 matches for India.
Australia are touring India as part of the ICC Women's ODI Championship.
India and Australia will play a three-match series in Vadodara from March 12-18.
India A squad: Anuja Patil (captain), Priya Punia, Sarika Kohli, Dayalan Hemalatha, Neha Tanwar, Tanushree Sarkar, Nishu Choudhary, Kavita Patil, Meghna Singh, Shanti Kumari, Nuzhat Parween, T P Kanwar, Preeti Bose, S Asha.
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