Gomez, who joined AC Milan in the summer of 2016, has been frozen out of the first team picture and has been restricted to just one substitute appearance in the Europa League this term.
Reports claim that the Diavolo are keen to offload the Paraguayan with English side Brighton and Boca Juniors of Argentina both keen to do a deal.
Meanwhile, Ranocchia has also emerged as a target for Brighton, having spent the second half of last season on loan in the Premier League with Hull.
It is understood that Ranocchia is Brighton boss Chris Hughton’s top priority for the January window but his departure would leave Inter short on options so an exit could be unlikely.
Reports in Italy suggest that Brighton have already sent representatives to meet with both clubs as they look to begin early negotiations.