Reports in Italy suggest the 37-year-old has been informed of his dismissal - pending an official announcement - with former Napoli boss Walter Mazzarri expected to be his replacement at San Siro.
However, when questioned by reporters, Moratti refused to divulge any details from a series of meetings held this week at Inter's headquarters in central Milan.
He told inter.it: "There's no news and I've got nothing to say about it."
When asked if there would be a statement by the end of the week, he replied: "Yes, I think so.
"I said we'll tell you what's going on before the week is out. Be it to announce Mazzarri or otherwise we'll tell you what's happening."
Stramaccioni is expected to pay the price for allowing Inter to finish ninth - their worst performance in Serie A since 1994 - while overseeing 16 league defeats in the 2012-13 campaign.
Mazzarri, 51, is favourite to take the reins having announced his decision to leave runners-up Napoli last weekend.