The duo have been linked with big club moves away this week.
Marotta said: "Pogba is tied to us by a contract that represents an investment for the future and we are happy he has sped up that process. He is staying with us.
“Vidal was a smart choice by the club, while the Coach made the most of him. Our desire is to keep hold of him. Juve are not a selling club and we have important objectives to achieve."