The Italy attacker is wanted back in Serie A, where Napoli and Inter Milan are both keen on the ex-Juventus star.
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However, La Gazzetta dello Sport says Slot is insisting Chiesa not be sold unless a replacement is found.
After losing Darwin Nunez (Al-Hilal) and Luis Diaz (Bayern Munich) in recent weeks, Slot has concerns about his attacking options going into the new season.
Chiesa, Cody Gakpo, Mo Salah and Hugo Ekitike are currently Liverpool's frontline options for the forward spots, with young Rio Ngumoha backing up.
Slot has already admitted he needs to "protect" Ekitike given the young Frenchman is their one recognised centre-forward.