The FFT said in a statement that captain Arnaud Clement called up Edouard Roger-Vasselin and Michael Llodra to make up for the absence of Gasquet, who requires eight days of rest.
Clement, who also called up Jo-Wilfried Tsonga, Julien Benneteau and Gael Monfils, has until Thursday's draw to name his final team.
Germany are already without Tommy Haas and Florian Mayer, who are both injured, for the tie taking place in Nancy, Eastern France from Friday.
(Reporting by Julien Pretot; Editing by John O'Brien)
