Chelsea are thought to be rivalling Inter for Eto'o with the striker expected to leave Anzhi Makhachkala due to their financial problems.
Eto'o is a big fans' favourite at Inter after helping them win the treble in 2010 and Moratti is not ruling out a deal for the Cameroon international
"Eto'o? We'll see what happens next week," Moratti told Sky Sport Italia.
Inter coach Walter Mazzarri was remaining tight-lipped on the prospect of Eto'o returning to the club.
"Eto'o arrives? It's not my place to speak," noted Mazzarri. "I'm happy to coach the team I have right now and we'll see what the market says."
Meanwhile, Moratti has played down reports that Sunday's match with Genoa would be his last game as president of the club.
Indonenisian businessman Erick Thohir is poised to take control of Inter, but Moratti insists a takeover deal has not been agreed yet.
"I don't like saying that and I don't think so, anyway," added Moratti
"Yes, I am emotional, but the way I always am before an Inter match that starts the season. We haven't reached an agreement yet.
"If we do, then that's fine. If we don't, then nothing will be done. My desire is to do things properly, then we'll see if it's enough."