The club said that they "would make no further comment on the matter and nobody will answer any questions about this decision".
On Wednesday evening the Girondins bowed out of the Cup at the last 16 stage as Alejandro Bedoya's 118th minute goal gave Nantes a 4-3 extra-time win.
The suspensions for Sane and Prior bring even more problems for an already porous defence that have conceded 18 times in their last six games.
With first-choice keeper Cedric Carasso out with a long-term injury, Paul Bernardoni will have to take over in goal after Prior's suspension.
The 18-year-old Bernardoni has played twice for the club since joining on loan from bottom side Troyes last month.