Moratti hailed the way Stramaccioni turned things around to hold rivals AC Milan to a 1-1 draw at the San Siro on Sunday.
Inter were given a 4-1 thumping at the hands of Fiorentina the previous week and Stramaccioni was under pressure heading into the Milan derby.
Stephan El Shaarawy opened the scoring before the break before Inter struck back thanks to Ezequiel Schelotto's second-half header to rescue a point.
The result keeps the Nerazzurri a point behind their Milanese rivals in fourth spot and in contention for a UEFA Champions League spot while Stramaccioni remains unbeaten in Milan derbies, having won his previous two.
But Moratti was pleased with the display and has hinted at signing more young players in the summer.
He told the club's official website: "I was pleased with the way he raised the players on a psychological level after going a goal down.
"I don't think AC Milan had ever played so well this season. I watched them in other games but they were like lightning.
"I believe Inter can grow. Hopefully we can make more room in the squad for players that represent the future."