The former England manager has explained that he spoke with the oil tycoon about becoming the Nerazzurri's next permanent boss but the pair failed to reach an agreement
Within hours of standing down as England manager in February, the 65-year-old Italian was linked with succeeding Claudio Ranieri as Nerazzurri boss but Stramaccioni was eventually named caretaker coach and has now been installed on a permanent basis after overseeing a strong finish to the Serie A season.
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However, in discussing his future in the game on Wednesday, Capello has claimed that he was in the running for the role.
"I would like to coach for another two years and even if there are no big opportunities, I will continue to coach," the Champions League winner told reporters.
"Recently, I tried Inter, but things did not go the right way. The reason? I cannot say; you have to ask Moratti."
Meanwhile, Capello admitted he is not a position to discuss the circumstances surrounding his resignation as England boss.
"I cannot say what happened because I made specific agreements with the FA, but I can say that they prefer to have English coaches," he explained.
"Also, when I arrived I thought of having to train poor players, but in fact, they worked hard in training. But I think that they will only win when they play less; they tire themselves out too much during the season."
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Capello was officially appointed as England manager in December 2007.