Strama remains close to many at Inter, despite his sacking over a year ago.
"Yes, it is normal. We must speak with respect, there is a different ownership there that has made its choices and is also innovating," Stramaccioni has told Radio Rai.
"There is an ambition to one day return to an important team, notwithstanding that Udinese is an important team.
"I will tell you an anecdote - when [sporting director Piero] Ausilio renewed to 2017, jokingly I said: 'Piero, come on, bring me back to Inter'. But it is a joke. I hope to continue at Udinese, who have invested in me."
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