The Ghana international is hopeful the Serie A champions can add European glory to their domestic triumph after bolstering their squad with the likes of Carlos Tevez
The Bianconeri successfully defended their Serie A crown last term and reached the quarter-finals of the Champions League, but Asamoah is confident they can add further titles to the Scudetto in 2013-14.
"We are working hard in order to do well and get as far as possible in Serie A and in the Champions League," the 24-year-old told reporters.
"Not to mention the Super Cup [against Lazio on August 18], which will be our first trophy to win."
Antonio Conte's side have alredy strengthened their squad with the signings of Carlos Tevez, Angelo Ogbonna and Fernando Llorente this summer, and Asamoah feels such investment will pay dividends come the business end of the season.
"We have three new strong and experienced companions, and if we work well together, never giving up, we can achieve our goals," the Ghana international added.