The Rossoneri took a 2-0 first-half lead through Ante Rebic and Zlatan Ibrahimovic, but the Nerazzurri turned things around in the second half thanks to strikes from Marcelo Brozovic, Matias Vecino, Stefan de Vrij and Romelu Lukaku.
"Great team win in a fantastic atmosphere!," read a caption in Asamoah’s Twitter post celebrating the victory.
The 30-year old Ghanaian has returned to the first team after nursing a knee problem for nearly three months.
He was an unused substitute in this tie, likewise the previous game at Udinese which ended in a 2-0 victory.
He faces stiff competition from new signing Ashley Young who has occupied the left wing-back role since his arrival from Manchester United in January.