Silva was overlooked for the armband despite being the most experienced and decorated player in the Chelsea squad.
Reece James replaced Cesar Azpilicueta as Chelsea captain, with Ben Chilwell acting as his deputy.
Speaking ahead of Sunday’s trip to West Ham, which James will miss due to a hamstring injury, Pochettino explained why Silva was not given the role.
Pochettino said: “For many different reasons, I am looking not only in the present but for the future.
“It was a good situation because Reece is ready to be captain. When the player is clever like Thiago, who is 38 and nearly 39. Do you think he is thinking about needing the armband? He is a captain as well like Reece and Chilwell.
“You don’t need the armband on to feel like a captain. He is a captain also and will help Chilwell and Reece. He will be a great captain for the club.”
Silva stands out as the only outfield player aged over 30 in Pochettino’s new-look Chelsea squad.
Pochettino has revealed he had a conversation with Silva about the changes at the start of the season, saying: “I told him ‘Look, Thiago I am not sure you are always going to play. You need to [fight], like any player who deserves to play.’
“He was really, really humble and is a fantastic footballer in his career. A good thing happened, it surprised me and I think we created a good and respectful relationship.
“He is going to play and show his quality. In a young squad — to have some experience like him — is always very helpful.”
