Since returning from an eight-month doping ban last month, U-19 World Cup winning captain Shaw has been in great form scoring a double hundred in Mumbai's Ranji Trophy-opener against Baroda.
Shaw would be targeting a berth in India's squad for the tour of New Zealand as a back up opener with Mayank Agarwal and Rohit Sharma set as first choices.
Selection committee chairman MSK Prasad said after picking the India A squad for the tour of New Zealand that they want Shaw to get as much "game time as possible".
Pandya has been out of action since September due to a lower back injury.
Hanuma Vihari will lead India in the first-class games in New Zealand while Shubman Gill will skipper in the 50-over format.
The first tour match will be played on January 17 and the three one-dayers will be played between January 22 and 26. The two four-day matches will be held from January 30-February 2 and February 7 to February 10.
India A squad for two tour matches and three one-day games: Prithvi Shaw, Mayank Agarwal, Ruturaj Gaikwad, Shubman Gill (Captain), Suryakumar Yadav, Sanju Samson, Ishan Kishan (wicket-keeper), Hardik Pandya, Krunal Pandya, Axar Patel, Rahul Chahar, Sandeep Warrier, Ishan Porel, Khaleel Ahmed, Mohd. Siraj
India A squad for 1st four-day game: Prithvi Shaw, Mayank Agarwal, Priyank Panchal, Abhimanyu Easwaran, Shubman Gill, Hanuma Vihari (Captain), KS Bharat (wicket-keeper), Shivam Dube, Shahbaz Nadeem, Rahul Chahar, Sandeep Warrier, Avesh Khan, Mohd. Siraj, Ishan Porel, Ishan Kishan
India A squad for 2nd four-day game: Prithvi Shaw, Mayank Agarwal, Shubman Gill, Cheteshwar Pujara, Ajinkya Rahane, Wriddhiman Saha (wicket-keeper), Hanuma Vihari (Captain), KS Bharat (wicket-keeper), Shivam Dube, R Ashwin, Shahbaz Nadeem, Sandeep Warrier, Avesh Khan, Mohd. Siraj, Ishan Porel
( With inputs from IANS )