The signing from AC Milan scored one goal and produced three assists.
Young striker Martin Satriano scored with a towering header from a Calhanoglu corner for the opener.
Federico Dimarco made it 2-0 via a Calhanoglu through ball before the latter scored Inter's third.
Andrea Pinamonti's struck after halftime head of Stefano Sensi and Marcelo Brozovic goals.
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