The coach has come under fire following a poor run of league form, a Europa League exit and a Coppa Italia semifinal defeat to Roma.
Inter, which has lost four of its last five Serie A games, has slid down the table to seventh place, five points adrift of a Champions League spot, and nine points behind fierce rival AC Milan.
With speculation surrounding Stramaccioni's future, Moratti has revealed his fate will be decided at the end of the season, but remains adamant he has not yet considered replacing him.
He told reporters: “You will know the future of Stramaccioni on June 30. At the moment it is difficult to judge his actions as we have been hampered with injuries. Names that circulate? I'll give them to you guys, we have not had contact with anyone.”
The Nerazzurri have been hit with a long list of injuries, with Antonio Cassano, Rodrigo Palacio and Diego Milito all sidelined and Esteban Cambiasso and Fredy Guarin joining a growing list of the injured.
Moratti is sympathetic with the current situation, but believes the team's approach to games must not alter.
"Is it a problem of the preparation? I have not had time to analyze it, but I think the results do favor for something like this, maybe something in the preparation must be changed."