Inter go to Chelsea for the second-leg of their Champions League clash defending a 2-1 lead.
Asked if he had any advice for Mourinho, Trapattoni said, "Well, I have one: in the second leg I would play the Balotelli card.
"I understand that the lad has a difficult character, but he is a phenomenal player. He is a giant with delicate feet.
"Mario is the right man to beat Chelsea. Inter have an important but not decisive advantage. They have to go and knock Chelsea out in London. That way they will show all of Europe that the music has changed.
"President Moratti can now really focus on lifting the Champions League."