Moggi, who is serving a life ban from Italian football for his role in the Calciopoli scandal, was directing his fury towards Inter supporter and politician, Ignazio La Russa, who had previously criticised Juve's management.
Inter were handed the 2006 Serie A crown after league champions Juve were implicated in a match fixing controversy and stripped of their title.
In an editorial for an Italian newspaper, Moggi wrote: "When Inter did not win it [Serie A title], it was because they bought Hakan Sukur and Taribo West, and because they let their best players, [Clarence] Seedorf and [Andrea] Pirlo go to Milan in exchange for [Francesco] Coco.
"Juventus on the other hand bought [Gianluigi] Buffon and [Zinedine] Zidane. They [Inter] started winning when they took advantage of Calciopoli, taking Juve players [referring to Patrick Vieira and Zlatan Ibrahimovic] and brought in Jose Mourinho.
"But now Mourinho is gone and the errors have surfaced again. There would need to be another Calciopoli for Inter to start winning again."
Inter have begun the football season poorly under new manager Gian Piero Gasperini. Having lost to AC Milan in the Italian Supercup last month, Inter kicked off their Serie A campaign with a 4-3 defeat at Palermo and then lost 1-0 on Wednesday night at home to UEFA Champions League newcomers Trabzonspor.
Inter host Roma on Saturday.