Enrique also hopes they can hold onto Mirko Vucinic.
The former Barcelona B boss said: "Totti? The captain is unique. I am very happy to be able to count on players of the calibre of Totti, Daniele De Rossi and Simone Perrotta, as they can set the example for their teammates."
Mirko Vucinic has requested a transfer, but the club is eager to hold on to the striker.
"I like Vucinic a lot, as I like all players with quality. Mirko is very strong.
"I hope to transmit to the lads by philosophy, which is of very attacking football. We must always step on to the field with the same objective: Victory, whether home or away.
"This is what I believe in."