Mauresmo will replace former French champion Yannick Noah as captain at the all-male tournament, the federation said on Twitter.
Mauresmo, 38, has won Grand Slam singles titles at the Australian Open and Wimbledon. She has also coached several top players, including former number one Andy Murray.
Her counterpart for the Fed Cup, the women's equivalent of the Davis Cup, will be Julien Benneteau, who also replaces Noah.
France won the Davis Cup title in 2017 for the first time in 16 years.
(Reporting by Mathieu Rosemain and Myriam Rivet; Editing by Andrew Bolton)
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