"We know they are a good side, everybody knows that, but we can't afford to play the way we did in the first half," said Hodgson.
"Both of the first two goals came about through balls lost near our own goal. Suddenly they find themselves 2-0 up after 10-11 minutes. We needed to defend well and make good decisions.
"How many teams can come back from 3-0 down against this Chelsea team? To give some credit the players did better in the second half and showed some fight in them but the bottom line is we played against a Chelsea team that we believed we could stretch and we're on the back end of a 4-1 defeat and needed to do some last-ditch defending to keep it down to four."
"[Kai Havertz] maybe should've scored more, he had more chances," Tuchel told BBC Sport. "He can still improve his hunger and determination.
"He has outstanding quality. He's not the leader of this team and he doesn't have to be. He had excellent runs and he could've scored more."
"It was very good. We started very well, very aggressive and we had a high percentage of possession," added Tuchel. "We also had a good switch of play and we had a lot of touches in the box - so a very good performance.
"We have the feeling we could've scored more but we deserved that and that's a nice feeling for our self-confidence."