Stramaccioni's surprise appointment as an interim coach after Claudio Ranieri's dismissal has paid off for Inter Milan, who are unbeaten since the former Roma youth coach took over in March.
Despite the 36-year-old's inexperience at the top level, Zanetti is keen on Stramaccioni's work in the Inter squad and is looking forward to working with him.
"Yes, we're working well together and there's great enthusiasm in training," the Nerazzurri skipper told Inter Channel.
"But it's only right that it should be the president [Massimo Moratti] and the club that decide what is best, because Inter must start aiming for the top targets again."
However, Zanetti is adamant that Stramaccioni has it in him to bring the glory days back to Inter.
"He's good, he came in and was humble and honest from the start," the veteran Argentine explained. "He has very clear ideas, he likes a certain brand of football and we've all bought into it.
"Hopefully we'll be able to end the season as best we can and Andrea can continue. These months will just be the start of a long coaching career for him.
"It's true that he doesn't have much experience working with first teams, but from day one he came across as a talented coach. He's careful about all the small details and he's very galvanising."
However, Stramaccioni's permanent appointment will depend on him being able to secure a UEFA Pro Coaching License in time as he is currently holding onto a UEFA A Coaching License, which will only allow him to take on a role as an assistant in Serie A or B teams.
Stramaccioni's current appointment is allowed despite his licensing issue as he is working alongside first team coach Giuseppe Baresi.