The captain has shone under Zeman in the past and the Coach is returning to the Olimpico after 13 years.
"Fortunately I already know the new Coach and what I am going into. I'll do everything to ensure I am in good shape for the start of pre-season training," Totti told Sky Sport Italia.
"Soon we'll meet up and start preparing for next season. I want to be on form. What position will I play in? We'll see where and more importantly if I'll play..."