When Sky Sports asked the Belgian if he was enjoying life under Sarri, he said: "Of course".
"From this perspective, at the moment, I would say we can give our all in two competitions as long as possible".
But Morris - now assistant to Chelsea icon Frank Lampard at Derby County - thinks Hazard is the most talented player to play for the Stamford Bridge outfit over the likes of Zola, Didier Drogba and Peter Osgood.
I think he has won more games than Zola did and he has scored some outrageous goals.
"[Ross] Barkley - not a lot - but he's offside, they watched it and didn't think it was offside so we have to take that".
"If I see one player with the feeling: 'Oh, it's only the League Cup, ' then we could have a real problem".
Hazard, having come off the bench, fired in at the end of a wonderful run in the 85th minute.
"He was on his own with four defenders, an unbelievable goal".More news: USA warns Russian Federation deploying S-300 in Syria would be 'major mistake'
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"We are greedy, we want to win both of them if we can".
The Gunners, beaten finalists in this competition last season, were pushed all the way by a much-changed Brentford side but showed enough to advance with a 3-1 win as Welbeck scored twice in the first half to ensure safe progression.
"But three players are offside, two for sure offside and they block so they have impact".
"This one also is one of the best, especially when you score against a big team and win the game".
But instead it was Hazard who showed his class to strike the victor as he danced past five Liverpool challenges before crashing a rising shot into the far corner for his sixth goal of the season.
Klopp confirmed goalkeeper Simon Mignolet will make his first appearance of the season in Wednesday's cup tie as Alisson Becker rests.