Zhang is currently in Los Angeles for personal reasons but has already booked a flight for Italy, where he will arrive by the weekend, according to the Rome-based paper.
The Inter owner wants to show his support to the team, who has had a tough start to the season with three defeats in the opening nine games across all competitions.
According to the report, Zhang has faith in Inzaghi and is not considering a change of the guard at the Stadio Meazza.
The Nerazzurri will resume training tomorrow with directors Beppe Marotta and Piero Ausilio at the Suning Training centre.
Zhang will join them in a few days and remain in Milan for the upcoming fixtures against Roma (October 1) and Barcelona (October 4).