The Nerazzurri won 1-0 in France in the Champions League on Tuesday and head into Sunday's match against Chievo knowing that a defeat could see them fall into the relegation zone.
"After the Champions League, we can now focus on the League at home," Moratti told www.inter.it.
"Tuesday's win was an important and necessary one.
"Now we have to find some more confidence so that we can continue to do well in Europe and start putting some points on the board in the league.
"I think all this side needs is to get its confidence back and then we'll start winning."
Inter are level on four points with 18th-place Bologna and have lost four of their six games in Serie A.
City rivals AC Milan also go into Sunday's game at Lecce in buoyant mood after they followed up their 3-0 triumph over Palermo with a 2-0 success over BATE Borisov in the Champions League.
The Rossoneri need to show a lot of improvement if they are to win their first game on the road this season.
Massimiliano Allegri's side has conceded five goals in their first two games away from home.
Udinese can take over sole possession of first place with a victory over Novara at the Friuli stadium.
Napoli visit in-form Cagliari on Sunday looking to pick up where they left off in their 1-1 draw against Bayern Munich in the Champions League.
The result was deemed a good one by Napoli fans because Bayern had scored 25 goals and conceded just once in their previous 10 games.
The Naples outfit lost last weekend's game to Parma to drop to fifth place, one point behind Cagliari.
Roma and Palermo will battle it out at the Stadio Olimpico on Sunday with both sides looking to bounce back from defeats.
The Sicilians lost 3-0 at AC Milan and travel to Rome looking to end their winless run away from home.
Roma, meanwhile, lost 2-1 at Lazio in last weekend's city derby.
Lazio travel to Bologna inspired by Miroslav Klose's last-gasp winner against Roma at the weekend.
The result was Lazio's second consecutive triumph and lifted the Biancoceleste to fourth place.
Parma look to make it three wins a row when they take on Atalanta in Bergamo.
Franco Colomba's men stunned Napoli 2-1 to climb to the top half of the standings.
Bottom side Cesena travel to Siena looking for their first win of the campaign but having to do without pivotal striker Adrian Mutu, who serves his first of a three-match ban this weekend.
On Saturday, Juventus missed the opportunity to open up a three-point lead at the top of Serie A as they twice relinquished a lead to draw 2-2 at home to Genoa.
Saturday's other game in Italy' top flight also ended 2-2, Catania twice coming from behind to extend Fiorentina's winless run to four games at the Stadio Artemio Franchi.