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The Kerala all-rounder, who is a hard-hitting batter apart from a handy off-spinner, has so far featured in nine T20Is.
Harmanpreet Kaur will lead a 15-member Indian squad.
The two have got the No Objection Certificates from the Kerala Cricket Association.
Defending champions India open their campaign against Pakistan on July 19.
Asha, who became only the second Kerala woman to play an ODI, claimed figures of 4/21 from 8.4 overs in India's thumping 143-run win.
Both Asha and another Keralite S Sajana are part of the T20I team.
The Kerala cricketers were part of Team India's 5-0 crushing of Bangladesh in a T20I away series.
Left-arm spinner Radha claimed 3/24, while Keralite leggie Asha picked up 2/25 in her second T20I.
The leg-spinner returned figures of 2/18 from her three overs as India won the rain-interrupted match by 56 runs via DLS method.
In the rain curtailed match, India posted a 56-run win with 33-year-old Asha bagging 2/18.