Despite a mixed start to life as Blues boss, the Argentine has seen his team pull off two big results in a week.
Monday’s 4-1 win over Tottenham might have not been the most convincing display despite the scoreline but Chelsea looked impressive at times during Sunday’s thrilling 4-4 draw with Manchester City at Stamford Bridge.
Pochettino’s side have also raised their game against both Liverpool and Arsenal this season too, perhaps offering an indication that things are working after another eventful summer.
Upon taking the job, Pochettino admitted a club like Chelsea demanded instant success and Carragher believes the former Tottenham boss is the right man to oversee the project.
“The best thing about Chelsea right now is Pochettino, not the players or the owners – the manager,” said Carragher on Sky Sports.
“That's the most important man, when you talk about Chelsea getting back to winning trophies, I'm not sure they could have got a better manager that was available. Everything around him has to improve.”
Carragher added that the ambitious recruitment drive to sign largely young players from across the world has failed at Stamford Bridge but thinks Pochettino is to thank for making something of it.
“We know now, that hasn’t worked,” he said.
“It’s been a mess. It’s been a disaster. It hasn’t worked.”
When asked if results like the last two had suggested Chelsea’s raft of young players were making progress, Carragher said: “That’s because of the manager.
“The manager, in terms of the big games, can’t get anymore out of this group of players.”