"We have to keep calm," said the Italian.
"I do not like talking about other players in other clubs, but you're talking about two big and good players, top players in their roles. Vidal is one of the best in the world, but Sanchez is the same as a striker."
Last week, Conte was happy to talk up his relationship with former Juventus midfielder Vidal.
He said: "I must be honest, it's not right to talk about a player of another team. Especially if you try to link this player with us.
"But Arturo is a fantastic player, I have a great respect for Arturo, and we spent many years in Juventus together.
"If we go to war, I'd always want him with me."