The 25-year-old right-back joined the Blues on deadline day from Torino, and Conte will expect his fellow Italian to slot into his 3-4-3 formation with attacking wing-backs.
“Davide is a good player, a young player and, for this reason, he has a lot of space to improve,” Conte said.
“He makes good runs during the game, has good quality. He’s a wing-back and usually prefers to play on the right, but can play on the left. He is ready. You’ll see, very soon, his performance.
“For Davide it’s a great chance. He arrives in a great club. It’s important to go into this club with the right mentality. It’s not easy to play for a great club, above all when, previously, you didn’t.
“But don’t forget Torino are a good team with a great history, in the past. I know that, also, in Turin there is good pressure. But to play in another country, another type of football, it’s not easy for him.”
Zappacosta could be set for his Premier League debut when the Blues face Leicester City on Saturday, having featured for Italy in their most recent World Cup qualifier against Israel on Tuesday.
“Davide Zappacosta played the game against Israel with the national team and showed he’s in good physical condition,” Conte added.
“He worked with me in the national team. He knows very well which is my style of football, which is my idea. For this reason, it’s more simple for him to adapt himself to our style of football.”