Two goals from Sadio Mane sealed victory for the Premier League champions at Stamford Bridge, while Chelsea had Andreas Christensen sent off shortly before half time.
Werner, meanwhile, is still searching for his first Chelsea goal, although he showed plenty of promising signs during the loss to Chelsea.
And Lampard says he has been impressed with the initial impact Werner has made.
‘Yeah, I’m very pleased with his start,’ Lampard said after Chelsea’s defeat to Liverpool.
‘We brought him to the club for the attributes that we’re seeing. We’re seeing speed, we’re seeing individual moments, we will see goals from him, I know that.
‘I thought with the second half and how difficult it would have been for him and Mason [Mount], instead he comes up with a moment that could get us back into the game.
‘I’m delighted with him. And we’ll see a lot more. And also his manner, his way, his desire to work for the team, his behaviour in the dressing room, I’m delighted with Timo.’
Werner also won a penalty for Chelsea in the second half, although Jorginho’s spot-kick was saved by Alisson.
Meanwhile, Fabregas praised Werner’s movement off the ball during the first half.
The former Chelsea and Arsenal midfielder posted on Twitter, ‘Werner’s runs’ next to clapping hands and thumbs up emojis.