Inter were confirmed champions on Sunday.
“It was a great satisfaction for us and the fans. I celebrated with my family," said Conte.
“When I join a new team, I become the first supporter and I remain a fan of the clubs that I've coached."
Did Juventus President Andrea Agnelli congratulate him?
“I saw he congratulated President Zhang, and that's enough," Cote replied.
On his future, Conte added: “Let's enjoy this moment, there will be time to talk together, with the President and the directors, to choose the best path for Inter."