The 28-year-old Colombia international was not involved in Chelsea's Premier League opener against West Ham on Monday night, having returned to Stamford Bridge in pre-season following a successful loan spell with the Old Lady last season.
With this in mind, Marotta says he would gladly welcome the chance to re-sign Cuadrado, although he did not reveal whether the club would explore the possibility of securing a permanent transfer.
"Of course we would welcome Cuadrado for many reasons," Marotta told Il Corriere della Sera. "He always behaved well here and the experience we had with him was extremely positive.
"It's a question that will be resolved in the next few days at the most. He's a Chelsea player for now, but if the English club are open to talks, well we will open dialogue. We'll have to see."
Cuadrado made 16 starts and a further 12 appearances from the bench last season, bagging four goals and providing five assists in Serie A.