The England goalkeeper joined the Serie A outfit on a season-long loan from Manchester City on deadline day and Rush, who spent a season with Juventus in the late 1980s, expects it to be a fruitful move.
"I learned a lot - I think it's a great move for him," Rush said.
"When I went to Italy with Juventus, I went as a boy and came back as a man. You've got to stand up for yourself."
Rush added: "I think it's just getting used to the atmosphere and everything.
"It's an industrial city, Turin, so I'm sure he'll be getting used to the atmosphere and also the passion for football in Italy.