The pair worked together at Chelsea last season with Higuain on a six month loan.
Sarri said, “Pipa is a lad I love a great deal and it depends on him if he remains. There are directors here who have been following these players for years, so I will listen to their opinions too.
“Maybe not [on] Higuain, who I know pretty well, but I will first and foremost listen and adapt to what the club suggests."
He continued: “I haven't spoken to Gonzalo since the post-Europa League Final party. I had to get my ideas sorted on Juve and this club.
“He is a Juventus player, so when he returns from vacation, we'll have the opportunity to talk.
“Gonzalo has the characteristics that allow him to play with anyone. I said it depends on Gonzalo because I get the feeling he didn't enjoy the post-Juventus experience and was a little shaken after that season, these things happen.
“If he can get a strong reaction, he can play another 3-4 years at a high level."