The Ghanaian's agent arrived at the club's headquarters on Monday to sign the contract termination agreement on behalf of the player.
The midfielder cum left-back is now a free agent and could join any club of his choice.
The 31-year-old joined Inter Milan in 2018 after a successful six years at Juventus.
Asamoah was confident of a great time at Inter because of Conte, having excelled under the Italian tactician at Juventus.
But things have not gone as planned for Asamoah. He has struggled to impress because of injuries.
Last season, he missed the majority of games due to a knee problem.