Inter fans also unfurled a banner insulting Juve coach Antonio Conte, the statement said.
Italian media said racist insults were directed at Juve midfielders Paul Pogba and Kwadwo Asamoah during the match in Milan, which ended 1-1.
One stand of the San Siro will be closed for Inter's home game against Fiorentina on September 26.
(Writing by Clare Fallon in London; Editing by Justin Palmer)
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