Sannino was in charge of the Flying Donkeys for just four months before being forced out with the Verona outfit at the foot of the Serie A standings, four points adrift of safety, following an eight-match winless run.
His predecessor Corini has signed a two-year contract to take the reins once more, the club have announced.
A statement on their website read: "AC Chievo Verona announces that it has entrusted the conduct of the first team to Eugenio Corini. The agreement is reached on a two-year basis.
"A press conference by Eugenio Corini and his coaching staff will take place tomorrow (Wednesday) at 13.30 (CET) at the Sport Hotel Veronello."
Sunday's goalless draw with AC Milan was not enough to save Sannino's post, with Chievo confirming in an earlier statement: "Chievo announces it has parted company with first-team coach Giuseppe Sannino and his technical staff.
"The club wishes to thank the coach and his staff for the work, professionalism and dedication they have always shown and wishes them the best of luck in the future."
Chievo have won just one and lost eight of their opening 12 games.
Lack of goalscoring has been Chievo's biggest problem this season with the Verona team having found the net seven times so far.
Chievo visit Hellas Verona in the city derby on November 23.
Corini led the club to a 12th-placed finish in Serie A last season.