The French defender is believed to be keen on a switch to Serie A or elsewhere in England after being told that he has no future at Villa Park.
Cissokho, 27, joined Villa from Valencia in August for a free believed to be around £2 million and would go on to start all but one league game under the since-departed Paul Lambert over the first half of last term.
However, the Frenchman suffered a groin strain as a substitute in Sherwood’s first game in charge against Stoke City in late February and, despite making his injury comeback with the Under-21s eight weeks later, failed to earn another first-team appearance for the rest of the campaign, as Kieran Richardson made the left-back spot his own.
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With the new boss now preparing to revamp his squad in his first transfer window in charge, several members of the senior squad are said to be heading for the exit door and Cissokho could be one of the first to go.
Sherwood is reported to be looking for a quick sale in order to recoup cash for summer reinforcements, while the former Liverpool loanee himself is believed to be keen on a move to Serie A or elsewhere in England.
However, despite being linked with both Tottenham Hotspur and Napoli in the winter [h/t Sky Sports], interest in the one-time international is believed to have plummeted since, and Villa might have to take a loss on a potential transfer fee.
A loan deal to get his £20,000-per-week wages off the books is another option but, regardless, the former Porto star does not look long for Villa Park.