Once again deployed in midfield, a position he largely gave up during his time with Juventus who preferred him in defence, the 29-year-old put up an impressive display as the Nerazzurri were pipped 5-4 on penalties after a 1-1 draw after normal time.
It is the Ghanaian's fourth pre-season match for the 2010 European champions since crossing carpets from Juve earlier this month.
"We struggled to deal with their speed and technical quality at the start," Spalletti said.
"They took the lead from our mistake but then we gained confidence and loosened up, playing better in the second half.
"I’m enjoying how the team is willing to put the concept of the football that we want to play into practice.
"Asamoah? He showed good stuff. He’s someone who knows how to manage the ball. He knows when to take three touches or when to play it quickly. His past tells it. He did very well in the middle. I liked him."
Asamoah is not anyway new to midfield as he played in the position during his time with Udinese, from whom he joined Juve in 2012.
Limited midfield opportunities, though, meant the Black Star mainly had to fight for a place at left-back or left-wing-back while with the Old Lady.
The Accra-born will be hoping to get another run-out when Inter face French club Lyon in their next pre-season game on Saturday.