The two teams will meet at San Siro with Denmark desperate to kick-start their World Cup 2014 qualification campaign after picking up just two points from their opening two games in Group B.
And that will be no easy task given the quality of players at Italy's disposal, with Olsen picking out three in particular for special praise.
"[Andrea] Pirlo is certainly an important player, but we have prepared ourselves in an effort to limit all of Italy and not just Pirlo," said the 63-year-old in a press conference.
"As for [Mario] Balotelli and [Daniele] De Rossi, they’re great talents and I fear them."
The last time the two sides played in the same group, Denmark eliminated Italy from Euro 2004 after a controversial 2-2 draw with Sweden and Olsen is wary of the impact that game may still have on Tuesday's encounter.
"A thief thinks that everybody else steals," Olsen joked. "I’m scared to say what I really think about that match. Sweden did well to make it 2-2. That’s just the way it went."