The teen is the subject of intense interest from Bayern Munich.
As a player who made his Premier League debut at the age of 17, Barkley is well placed to provide his thoughts on Hudson-Odoi's qualities.
"From a young age I've always been dedicated and worked hard," he told chelseafc.com. "You have to stick at it and sometimes you have to sacrifice things, for example what your friends are doing. Just love the game and the rewards will come.
"I started at a similar age to Callum. I've seen how talented he is through training and you can see what he's capable of.
"He's a very mature lad for his age, he knows what direction he's going in and he's improving all the time. He has a great future at the club, he's up there with the best talents I've seen in the time I've been a professional and hopefully he stays at the club for many years."