The midfielder spent last season on loan with Empoli.
“I'm glad to have stayed," Paredes told Sky Italia.
“It was my first choice ever since I returned from Empoli. It's what I wanted, so I'm very happy.
“I don't know what the Coach [Luciano Spalletti] thinks but I'm sure I'm in his thoughts. He's made me feel important every day, so I can't be anything but happy.
“I hope to play as many games as possible and try to win with this team."