"We haven't talked about it but whether I play as a support striker to Vieri or as a playmaker there is no problem," said Totti.
Ideally Trapattoni would like to play Vieri alongside AC Milan striker Filippo Inzaghi, with Totti just behind the front two.
But Inzaghi is expected to miss the opening game with a knee injury.
"Pippo Inzaghi is a very important player for us, but we have four other strikers and whoever plays will do well, I am sure of that," said Totti.
The Roma skipper is confident Italy can build on their experience at Euro 2000, when the team reached the final before losing to France on the Golden Goal rule.
"We want to play with the same consistency as at Euro 2000, but with a different result at the end," said Totti.
"We are more united now and we have spent a lot of time together and know each other well.
"My hope is that I can go all the way here but I know that
it won't be easy."