The Nerazzurri supremo has revealed that the young coach's services will be retained in the first team beyond the 2011-12 campaign following the derby win over Milan
The 36-year-old was appointed as interim boss until the end of the season after the departure of Claudio Ranieri in March, and Inter have now made the decision to hold on to Stramaccioni beyond the 2011-12 campaign.
"I will confirm Stramaccioni as the new permanent coach. He has proved his class and experience in a derby that really excited me," Moratti stated to Sky Sport Italia.
Inter have won five out of eight Serie A games since Stramaccioni took over from Ranieri, while drawing two and losing only once.
The former Primavera trainer has also guided the Nerazzurri back into contention to qualify for next season's Champions League as the team currently sit sixth in the Serie A standings, but only three points behind Udinese in third.
Inter travel to Lazio for the final league game of the season on Sunday.