Tuchel told Sky Sports: "We have struggled in the last seasons to get points here - and we have the points. A win is a win - it's the most important thing for everything but we have to get better.
In a match that had few highlights, the Germans enjoyed thebetter chances in the first half but it was a run by Napoli's Khvicha Kvaratskhelia down the left that decided the game as he set up Raspadori to fire home the winner in the 65th minute
Brighton played a good game, especially in the first half. "You can always look at goals and think you can do better. We have to take responsibility a bit in the first half. We have had a lot of football, but that's no excuse.
Chelsea had thebetter opportunities throughout, Timo Werner wasting two good chances before Havertz struck and substitute Christian Pulisic squandering another in the second half.
"They scored the first goal, could have scored the second and for the first 30 minutes they were not just better than us, they were much better than us. For the last 15 minutes [of the first half] the story was different.
“In the second half, Leicester did a little bit better, but I think if you look at the 90 minutes, it was 2-0, and I think we deserved even more goals. “After an international break, that’s really well done from the team.”
Manchester United head coach, Erik ten Hag has suggested that his team defeated Barcelona 2-1 in the Europa League playoff second-leg tie because his players played better in the second-half of the encounter.
Saliba is quicker; he is just as good on the ball; he's better in the air; he is more aggressive, and Gabriel is just the same. For me, Ben White does not start when Arsenal have a fully fit squad."
"VAR is important - it's coming next year, because it's going to help the referees to take better decisions," he told BBC. On thebetter performances within his squad, Emery singled out Maitland-Niles and Alex Iwobi for praise.
Everton striker Wayne Rooney has revealed that he's never before "struck a football better" than he did when scoring from inside his own half to complete his first Everton hat trick.
In the first half we weren't high enough up the pitch, which made things difficult. "In the second half we pressed better and we did some good things, even though we were naive with the lost balls.
I think they were better than us and there's nothing I can say. "The second half we started well but then we conceded and again I think we missed a little bit the energy to be more aggressive.
"This is the first match we lost at home. "I am thinking about the next match and how we can improve. "If we play like in the first half, that is the way." "We are better than we are showing.
"Normally, we are better in possession, more precise. We didn't make good choices today, we didn't have patience with the ball, we didn't win the physical battles in their half, but there are other aspects of the game I liked," Xavi said.
Speaking after the game, Solskjaer who started with a diamond formation in midfield, balemd his side's sloppiness. He said: "We never turned up on the first half, no tempo, no shape. They were better than us.