On Monday afternoon McClean started sending messages on the social networking site, he deleted his account AGAIN within the hour.
Di Canio said in his first press conference at Sunderland that players needed to be shown authority in order to achieve their potential.
McClean was forced to close his account in February when he sparked a sectarian row by saying The Broad Black Brimmer by The Wolfe Tones was his favourite song.
The midfielder was warned about his conduct on the website prior to that row but he was finally ordered to delete his account following a frank meeting with former manager Martin O’Neill two months ago.
Despite O’Neill’s departure from Sunderland McClean was not given permission to start using Twitter again, but the 24-year-old went behind the club’s back and started tweeting a week ago.