The decision was made in the late evening of Wednesday, with Palladino tendering his resignation.
There has been tension between Palladino and the club's directors, Daniele Prade and Roberto Goretti, which may have contributed to his decision to leave.
Other factors might have also played a role, as Palladino has reportedly been in talks with other clubs, including Atalanta and Lazio.
At Atalanta, manager Gian Piero Gasperini is considering his options, while Lazio's Marco Baroni is facing pressure.
The fans are now calling for Maurizio Sarri to take over as the new coach, but the club's board might prefer Daniele de Rossi.
The club is currently weighing its options and considering its next move, both publicly and behind the scenes, following Palladino's resignation.