Hingis, the 35-year-old world's top-ranked doubles player, was named along with No. 10-ranked singles player Belinda Bencic and No. 17 Timea Bacsinszky.
Team captain Heinz Guenthardt completed the lineup with No. 137 Viktorija Golubic.
Switzerland hosts the Czechs on April 16-17 on indoor hard courts at Lucerne.
The visitors, winners of four of the last five Fed Cup titles, will be without its top-ranked player - two-time Wimbledon champion Petra Kvitova.