Turan, 30, has started just 14 La Liga games for Barcelona this season and has failed to make his mark since his £24million move from Atletico Madrid in 2015.
Ernesto Valverde replaced Luis Enrique yesterday and his arrival is likely to trigger a mass overhaul.
And with the Turkey international being on the fringes at the Nou Camp he could be one of the first to be shipped out to make room for new signings.
Arsenal are supposedly keen to pounce on the uncertainty surrounding Turan's future after discussions with his agent Ahmet Bulut.
Chelsea summer transfer targets Tue, May 30, 2017
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Chelsea have made an enquiry to sign Barcelona midfielder Arda Turan.
Inter Milan are also said to be in the running for his services, but the midfielder apparently favours a move to the Premier League.
Chelsea secured a return to the Champions League next season after Antonio Conte's men cruised to the Premier League title.
The Blues will be keen to bolster their ranks ahead of the new campaign and it is said they have made an enquiry to sign Turan.
Chelsea have made an approach to sign Barcelona midfielder Arda Turan
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Turan has a wealth of experience in the Champions League and could prove to be a good addition for the newly-crowned champions.
The former Galatasaray man has lifted every domestic trophy in Spain and Turkey.
Turan would become the first Turkey international player to join Chelsea if he was to make the move to Stamford Bridge.
He is contracted to Barcelona until the summer of 2020.