Defeat to Lazio in midweek brought an end to Inter's hopes of qualifying for Europe next season and Stramaccioni held a meeting with club president Massimo Moratti.
He emerged upbeat and optimistic about the future.
"We spoke about our plans and projects for the future, it all went well," he told reporters at the end of the meeting.
With his future apparently clear, the focus can now turn to bringing the club's worst season in over 15 years to a positive conclusion.
"I think it's important that we now honour these colours and the league," said striker Tommaso Rocchi.
"We have two games left and we'll try to do our best to the very end so we can plan for next season, knowing where we need to improve."
Inter's injury problems have contributed to their woes this season, but Rocchi says they must not use that as the only excuse and expect things to be different when the treatment room empties.
"It's not only down to injuries, and it's not only bad luck," he said to Sky Sport television. "We certainly have to improve and I'm convinced that Moratti will build a competitive side."
Genoa cannot make too many plans for next season since they are not yet 100% certain which division they will be in.
A midweek draw with Torino has given them a four-point cushion over Palermo, who are in the bottom three, meaning victory at the Stadio Luigi Ferraris would secure their place in Serie A next season.
Defeat, on the other hand, would see their destiny decided on the final day of the season.
"Until the maths has the final word, we cannot relax," said their goalkeeper Sebastien Frey on his club's website.
"If we can reach our objective tomorrow [Sunday], it would allow us to relax for a week at long last."