Former Blues boss Maurizio Sarri was rumoured to be keen on keeping the Croatian global at Stamford Bridge, but the Italian's departure to Juventus has put a question mark over the player's future.
The defender spent last season on loan at Everton, who are keen to sign him on a permanent deal.
The reigning Europa League Champions are now facing time on transfer ban.
There has been speculation that Chelsea might refuse to sell him because of the prospect of a transfer ban hanging over the club.
Previous claims had suggested that the Blues were intending to secure the services of the Croatian midfielder following his loan spell at the club under Maurizio Sarri last season.
The Blues legend will return back to his old stomping ground to replace former manager Maurizio Sarri who recently left to return back to his home country and become the new boss of Juventus.
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Trump signed an executive order he said would curb access that Khamenei and the country have to world financial markets. Iran's foreign ministry spokesman Abbas Mousavi said shortly before Trump signed his order.
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"That's how all the young players at the club are looking at it".
Whoever the new Chelsea boss is they will have Christian Pulisic available to them next season, with the 20-year-old American joining the squad for the first time since signing for £57.6m from Borussia Dortmund in January.
"I have already been talking to the club about pre-season".
"This year is the most important year for us youngsters at Chelsea - it is now or never".