Chalobah scored on Premier League debut in victory over Crystal Palace.
Tuchel told the club's website: "When I first started pre-season my aim was to impress the manager, day in, day out.
"Whether that's training, being the first in training and doing what he wants, and giving my all, that's what I have done since day one.
"He said I did well in the pre-season, but I was a bit surprised to start the Super Cup, but it shows my work has paid off. He has given me the opportunity and I have taken it with both hands. It's important in football to stay consistent, stay grounded, stay hungry and always want more."
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