Arsenal teen Myles Lewis-Skelly struck on debut, with Bayern Munich striker and England skipper Harry Kane also scoring in the 2-0 win for Tuchel's first game in charge.
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"We can do better, we have to do better," Tuchel told ITV.
"We started well, we had seven or eight minutes with 100% ball possession with a lot of passes and high energy.
"The opponent is hard to break down as they defend in a deep block. In the Euros they managed to not concede chances.
"Second half, I felt we were too slow and in general not enough runs off the ball to get behind the line."
The German, on Lewis-Skelly, also stated: "Amazing player.
"Amazing personality. He came into camp and showed straight away that it's normal to fall in love with him.
"It is well deserved."