Swindon boss Di Canio demands great press for Cup shock
The Italian, who branded the victory over Roberto Martinez's Barclays Premier League side as the greatest moment of his career, is hopeful the club's board will act to ensure the win is recognised.
"My lads today deserve something from the club - to do something and put their names in the stadium," he said.
"Normally you do this when you win something important, but I don't want a big statue. Maybe just a small plaque with all their names because they did something special.
"(At half-time) I said to them 'once we go forward, attack because otherwise it is difficult to get what you want today, let the dream come true.'
"And today they did show the dream can come true. But what was a surprise to me was that at half-time they believed more than me. So with this I came into the second half with a feeling we should win the game and it happened."