The former Athletic Bilbao No1 joined the Blues as the world's richest goalkeeper transfer over the summer.
Azpilicueta told Goal, "He is a young goalkeeper, a top man, and I know him very well from the national team. He is very talented and has a great personality, and I think he can only go upwards.
"He will continue to improve, he has a lot of his career ahead of him and I became very happy when he signed up for us, because he can add a lot to this team. He can play with his feet, he can handle and control the backline and he is very smooth and mobile on the line.
"I think he has all the attributes to be a top goalkeeper."