The 19-year-old's goals helped the Rossoneri to their first home win of the new campaign, but Roberto La Florio has warned the Italy Under-21 international not to get carried away.
"Stephan must remain down to earth," La Florio told Tuttomercatoweb. "Yesterday's game against Cagliari must be one of many positive performances.
"I was expecting him to play well though – we all know what is qualities are. In spite of his age, he is showing that with work and humility, he can make the very most of his talent.
"Milan's identity has changed a lot, considering that now they are giving experience to young players."
El Shaarawy won his first international cap against England in August.