The Colombian ace rejoined the Italians on a bizarre three-year loan deal after spending last season in Turin.
Cuadrado, 28, helped Max Allegri’s men storm to another Serie A title, but found himself back at Stamford Bridge following the arrival of Antonio Conte.
The new Blues boss was keen to keep Cuadrado in west London but could not guarantee the winger regular first-team football.
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Cuadrado was an unused substitute for Juventus’ 3-1 home win over Sassuolo on Saturday, and revealed he worked hard in order to return to Allegri’s champs.
Cuadrado said: “I have done everything to come back, thank God I’m here. It’s been exciting to see the fans call my name.
“I’m very happy for the support I received. It was exciting to hear the roar of the fans and applause from the stands.”