Tottenham Hotspur are reportedly interested in the 19-year-old.
Spurs will need at least one goalscorer signed this summer amid doubts about Vincent Janssen and Fernando Llorente's future in North London.
And if rumours are believed, Zaniolo is the man earmarked by Tottenham.
But could their hopes be dashed if a certain Marcelo Bielsa moves to the Italian capital?
According to Di Marzio, Roma want the Leeds boss as their head coach next season and such a coup might convince Zaniolo to stick around.
This is because the Argentine is a terrific man-manager and his work with some of United's teenagers this season illustrates that he knows how to take players to the next level in their development.
The same is of course true for Mauricio Pochettino at Tottenham, but if Zaniolo stays in Rome then he won't behind Harry Kane, one of the world's best number nines.
A full season under Bielsa could do wonders for Zaniolo and you wonder whether he would rather stay put if they hire the 63-year-old Argentine.
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