Tuchel, who replaced Unai Emery as PSG coach this season, was happy with the victory but cautioned there was still room for improvement from his young squad.
Speaking after the match, he said: "We are very happy with this victory. We deserved it.
"This team has a huge potential and still needs to improve. It's the start of the season. Certain players have only been training for seven or eight days and were playing their first match.
"The young players are all part of the squad. The players are all at different stages of the pre-season and it showed at certain times during the match."
Defender Thiago Silva admitted he was not at full fitness but remained confident the team will only get better.
"We played well, with a lot of intensity. In the second half we controlled things. A lot of players aren't 100 per cent, me included. At the end of the game I had cramps," he said.
"Congratulations to the whole team for today's performance. We will keep getting stronger."
Neymar's goal came after a poor clearance from Brice Samba, but Caen boss Fabien Mercadal insisted he did not blame his 24-year-old goalkeeper.
Speaking in a post-match press conference, he said: "It will allow him (Samba) to grow, so do not blame him.
"Collectively, we leave this match with a lot of regrets."
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