The Spaniard, 29, reckons the 18-year-old England winger to be focal point of the new boss' system after an impressive breakout season.
Azpilicueta told Sky Sports: “It's important to have a connection between the academy and the first team.
"It is a strength and we can be stronger, and better, not only by having more players into the first team, but also with the coaches and the system.
“When they come to the first team it is easier for them as well to be part of the first team.
“For Callum [Hudson-Odoi] it is a massive opportunity for being a very important, key player for Chelsea.
"He was getting a lot of minutes before his unlucky injury, and now I am sure that when he recovers well, he will be back and a very important player for Chelsea.
"I think that the feeling and the desire from all the boys when they start, is that it is a tough academy to get into the first-team.
"But like Mason [Mount], Ruben [Loftus-Cheek] and Callum, all players like this it is something that we have to be proud of them because it is not an easy path.
“I think this desire and the will to perform into the first team and break into the first team, they send out a great example to all the young lads starting their careers."