The best-of-five matchup on green clay features two singles matches on April 22, as well as two reverse single matches and a doubles match the following day.
The winner advances to the Fed Cup final Nov. 11-12.
The U.S. last reached the final of the annual women’s international team competition in 2010. It captured the last of a record 17 Fed Cup championships in 2000.
The Czech Republic has won five of the past six Fed Cup titles, including three straight from 2014-16.
Fed Cup captain Kathy Rinaldi will pick four players to represent the U.S. in early April.