Diego Martinez's side were informed they could only name players in their squad who tested negative for COVID-19 and who did not travel to Cyprus for Thursday's Europa League match against Omonia Nicosia.
It was confirmed on Saturday that Martinez and striker Antonio Puertas were self-isolating after showing symptoms of the virus.
Granada asked the Royal Spanish Football Federation (RFEF) to postpone the game against Sociedad at Anoeta as they said they could not select "the minimum number of players available".
However, in a statement on Sunday, Granada said the RFEF's competition committee had rejected their request.
They added: "The team will travel to San Sebastian in the next few hours with only seven players in the squad who meet the requirements imposed by LaLiga, [the squad] completed with players from the B team and youth team who also meet these requirements."
Granada are sixth in LaLiga after winning four and losing just one of their opening seven games in 2020-21.
Sociedad are level on 17 points with league leaders Atletico Madrid.