While Brendan Rodgers' side are ruling the roost at home, they haven't always had the best of luck on the continent. "I think Lenny was the last in 2012, before that God knows when a Scottish team won away from home".
'I thought defensively we were exceptional and I thought in spells with the ball we were very good'.
Let no-one question the brutality of the Champions League.
Peter Lawwell says Celtic manager Brendan Rodgers has done an incredible job with a squad largely made up of players from Ronny Deila's time at the club.
"It is a huge jump in level, going into the Champions League, but I think it is pretty clear to see how the players are developing and improving". Players comfortable on the ball, players making angles, offensively looking a threat and tactically they were outstanding; blocking lines of pass, really pressing the game.
Anderlecht's torrid night continued with more poor defending, this time allowing Scott Sinclair to drive into the box and place a finish into the roof of the net for a 3-0 victory.
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It was was a hugely significant result for Celtic as they had failed to register a win in the group stages last season, the first under Rodgers.
The SPFL title holders and current league leaders were rock solid at the back from the first whistle, with 'keeper Craig Gordon keeping a clean sheet, while Celtic were absolutely clinical in attack, both elements of the performance pleasing the Celtic coach. The overall performance was outstanding and it's a great reward for the supporters. It was a great performance on the back of a tough game at the weekend.
"The amount of work he puts in, the coaches put in, the way the players have developed and the way they are performing, it's been remarkable really".
Rodgers added: "I agree, Olivier didn't make a good start to the game".
The game could go a long way to deciding who comes third in Group B, with Paris St-Germain and Bayern Munich likely to claim the top two spots. So maybe our 5-0 wasn't too bad.