Conte was axed by Roman Abramovich last month despite winning the FA Cup in his second season at the helm, adding to the Premier League title lifted in 2016-17.
Willian struggled to hold down a spot in the Blues' starting lineup last term, and the Brazilian took a swipe at his then-manager after being snubbed for the FA Cup final win over Manchester United in May.
With Sarri since being brought in as a replacement for Conte, Willian hopes for a better relationship with the 59-year-old.
"I hope he's not the same as Conte!" he told ESPN Brasil. "I'm joking... I think Conte was, for me particularly, a manager that was difficult to work with. His philosophy, his logistics, to manage there, is very complicated.
"I've had some games that you don't understand, you're playing very well and are taken out, you don't understand, twice I headed out of the game and went straight to the dressing room. So it was a bit difficult working with him. But in life we learn from that too."
Sarri held a "positive conversation" with Willian on his return to club duty last week.