The Italian forward was left out of the Nerazzurri squad for their Serie A clash against Catania on Sunday but will be included in the team to face Tottenham Hotspur in the Europa League this week.
"I wasn't there, so I can't tell you what happened," Moratti told reporters on Monday. "But I see everyone is getting back to normal. He's a talent, as we know, and artists are a bit special. Basically we need to understand him.
"I see everyone is scandalised that it's been leaked, but what's worse is that it's gone on in the first place, not whether it's come out or not. There are 40 people in the dressing room so of course it can come out. It's a shame but obviously these things can happen. Ultimately these things mustn't happen though.
"I'm not sure [if Cassano will be fined], I've left the decision on that one up to those who know what went on."
Inter came from two goals down to defeat Catania 3-2 away from home in Serie A on Sunday.