The Colombia international spent last season on loan at Serie A champions Juventus after struggling to break into the Blues first-team under former boss Jose Mourinho.
Cuadrado joined Chelsea from Fiorentina in January 2015 for around £25million but failed to impress during his first six months in the Premier League.
The 28-year-old has been heavily linked with a permanent return to Juve after playing a key role in their Serie A and Coppa Italia double last season.
But Conte, who has welcomed Michy Batshuayi and N’Golo Kante as new signings this summer, has shot down the speculation by revealing Cuadrado is going nowhere.
“Juan Cuadrado is a Chelsea player,” the Italian manager said. “He will come back very soon. He’s in our squad, I’m very happy to have him and train him.
“I wanted him when I was a coach at Juventus and he will come back very soon and train and play with us. Now, he’s a Chelsea player and he’ll stay with us. If something changes you’ll know.”