The top seeded Indo-Swiss pair defeated Diyas and Zheng 6-2 6-2 in the opening women's doubles match that lasted an hour and nine minutes at the All England Lawn Tennis.
Sania and Martina will next take on Kimiko Date-Krumm and Francesca Schiavone.
The Indo-Swiss combination converted four of the eight breakpoint opportunities that came their way, while their rivals failed to make use of the six chances and failed to cross the first hurdle.