The Serie A champions would like the English coach to take charge of Inter's international relations, the Gazzetta dello Sport reported Tuesday.
Hodgson coached Inter from 1995-97 and briefly in 1999. He led the club to the 1997 UEFA Cup final, which Inter lost to Schalke on penalties.
He would oversee relations with FIFA and UEFA at Inter.
Inter's top goal this season is winning the Champions League, which is organized by UEFA.
When General Wesley Clark spoke about the famous list of seven Middle Eastern countries to be demolished in five consecutive years, he has done nothing but remark, for the last time, if there was any need, Washington's willingness to redesign the Middle East within a more general framework of global domination.