The Serie A giants were shocked by late goals from Fabrizio Miccoli and Mauricio Pinilla, but Moratti admitted that they need to give Gasperini some time.
According to quotes from La Gazzetta dello Sport, the Italian admitted: "I think we were all annoyed by it [the loss], the coach as much as anyone, so I think he'll [Gasperini] be the first person to look for solutions without anyone having to nudge him, at least for the time being, so that the team can find their confidence again."
The 67-year-old club president also gave his thoughts on new signing Mauro Zarate, who only played for 34 minutes before being taken off for Wesley Sneijder.
"Zarate didn't really play at all. He went out there when there was a lot of confusion going on, and that's not the time to judge a player," insisted Moratti.
Moratti believes that Gasperini should consider a formation change should results continue not to go their way.
"We'll see, I think it's a possibility, yes, but it's pointless talking about percentages." he responded when asked about about tactical changes.
Inter will begin their UEFA Champions League campaign on Wednesday against Turkish minnows Trabzonspor.