The Republic of Ireland assistant manager was a pundit in ITV's coverage of the Champions League a day after Allardyce was relieved of his duties as England boss.
“Sam is only guilty of being silly and stupid," stated Keane, before he went on to reflect on the scandal that saw QPR boss Jimmy Floyd Hasselbaink and Leeds chairman Massimo Cellino dragged into the controversy.
“It's not been a great few days for the game," admitted Keane. “When there is so much money involved in the game now, there will be greed.
“I think we also have to be careful. There are a lot of accusations flying around about people, but you are innocent until proven guilty.
“Not everything comes back to the FA here. If we are on about coaches and managers and if they are found guilty of taking backhanders or whatever they are doing, it is up to the clubs to sort that out.
“The managers are employed by the clubs and if they are defrauding the clubs and are found guilty, they have to accept their punishment."