The Japan boss, who has coached both sides, believes that the Scudetto-challenging Rossoneri will prove far too strong for their city rivals, who have endured a tumultuous campaign which has claimed two coaches in Gian Piero Gasperini and Claudio Ranieri.
"At the moment, the Rossoneri are superior from any perspective, so I think that they have a great chance of winning," Zaccheroni told Sky Sport Italia.
"Inter have had a very troubled season, characterised by ups and downs, and a number of changes of coach.
"Milan, for their part, have shown good quality, also in the level of their play."
However, Zaccheroni still suspects that the Rossoneri will be pipped to the title by another of his former clubs.
"They have not had displayed a consistency equal to that of Juventus, who, in this regard, have played better football but with inferior players," the 59-year-old argued.
Zaccheroni spent three years in charge of Milan between 1998 and 2001 before returning to San Siro two seasons later to take over at Inter.