I thought Cicci was in Tessio's crew. We see a hint in the scene where Sonny embraces Michael before he meets with Sol and Mac. Look in the background and you'll see Tessio going back and forth, and then gesturing to Cicci to come with him. Also, it seemed to me that "excuse me Sal" at the end may have been another hint.

The novel says that Rocco was Clemenza's caporegime when Clemm took charge of the olive oil business after Michael moved to Nevada. Neri was "head of security" in Nevada.