Hazard has made a blistering start to the season by scoring seven goals in his first eight Chelsea appearances in all competitions, including a spectacular solo strike to eliminate Liverpool from the Carabao Cup in Wednesday's third-round tie at Anfield.
"He's a player that is getting better and better", Higginbotham told Sky Sports News.
"To be on the pitch again was really nice and I think I did my job the best I could".
Despite being disappointed with the use of VAR, Klopp felt Liverpool should have killed the match off, with Sturridge hitting the crossbar with the scores level.
Klopp said: "I don't think it's a foul (Keita's challenge on Victor Moses which led to the free-kick)".
Hazard's existing contract would keep him at Stamford Bridge for another two years but his scintillating start to the season has done nothing to stop the persistent rumours linking him to Real Madrid.
Tropical Storm Kirk forms in Atlantic Ocean
ET Sunday update, Leslie was slowly moving southwest at 5 miles per hour with maximum sustained winds of 40 miles per hour . Hedges told the News-Argus of Goldsboro that she felt she had to help the animals brought to her during the storm.
Premier League leaders Liverpool face another stiff test of their title credentials when they travel to third-placed Chelsea on Saturday defending a ideal record from their opening six league games of the season.
Asked about Liverpool's failure to win the league for so long, Sarri added: "It's very odd but I think the important thing is now they are ready".
"Something you see. I play in strong teams, here with Chelsea and with Belgium who were very good at the World Cup, and that helps me to perform better too".
Hazard came on as a substitute 10 minutes into the second half, replacing the Brazilian Willian. "He [Hazard] is not only one of the best in the Premier League, if not the best, but he's one of the best in Europe and the world".
Klopp is expected to make wholesale changes to the defence that lost against Chelsea in the cup with Nathaniel Clyne, Dejan Lovren, Joel Matip and Alberto Moreno all making way.
Leicester play Simpson's former club Newcastle on Saturday and they will travel to the north east without James and Demarai Gray, with the winger set for up to six weeks out through injury. "The Liverpool players retreated and that enabled Cesc Fabregas to have more time and space on the ball and it got Chelsea back on the front foot".