"I am pleased with the two goals, but also with the team's positive performance," Stankovic was quoted by Inter.it after Sunday's 2-1 victory.
"We must continue like this because we face a lot of hard matches. With the great ability we have, we must believe we can always win."
Inter were handed a 2-0 defeat at home against Bayern Munich in the UEFA Champions League before being held by Cagliari in the Italian League.
Their misery looked to be continuing when they went one down against new boys Catania at the San Siro.
But Serbian international Stankovic posted a brace to rescue his team and make the most benefit from Roma's 1-0 schocking defeat against Reggina.
Stankovic praised also Catania's approach to the game although they were on the road.
"We found it hard against Catania, who I congratulate because they came to Milan and played a very brave game without ever throwing the ball away," he said.