There was to be no fairy tale victory for the League Two outfit as they were blown away by a rampant Blues side at the Kenan Memorial Stadium.
Pochettino opted to start a youthful team, before bringing on some of his big guns in the second half - including summer recruit Christopher Nkunku.
And the versatile Frenchman capped a brilliant Chelsea performance with a debut goal in what is potentially a sign of things to come for the 25-year-old.
It took just three minutes for the first goal of the Pochettino era, with Ian Maatsen slotting past veteran goalkeeper Ben Foster.
The Dutchman, who helped Burnley win the Championship during his loan spell last season, then added a second shortly before half-time.
READ MORE ON CHELSEA
Chelsea score three minutes into Pochettino era - but technical issues see fans miss goal
Chelsea fans all say same thing after star winger is left out of Pochettino's first squad
A number of changes in the second half had slowed down the game, before Chelsea stepped up a gear in the closing stages.
Conor Gallagher scored Chelsea's third in the 80th minute, with the England international striking a low shot into the bottom corner after being picked out by Raheem Sterling.
Then came the moment all Blues fans had been hoping for - Nkunku getting on the score sheet.
And he took his goal in fine fashion, as he rounded shot-stopper Rob Lainton - on for Foster - before firing into the roof of the net in the 90th minute.
Most read in Football
Henderson to leave Liverpool, Mahrez on way to Saudi, Barnes to Newcastle, Onana latest
Liverpool eye Palace star also wanted by PSG as potential Jordan Henderson replacement
Newcastle agree fee with Leicester for Barnes as Magpies player heads to Saudi Arabia
Man City and Al Ahli agree fee for Riyad Mahrez after Pep Guardiola left him fuming
It was Cesare Casadei that set Nkunku through on goal with an inch-perfect pass, with the ex-RB Leipzig star showing supporters why Chelsea forked out £53million to sign him.
And left-back Ben Chilwell then put the icing on the cake for the Premier League giants in the fourth minute of stoppage time.
New signing Angelo Gabriel expertly found the run of the defender at the back post, with Chilwell calmly dinking the ball over the onrushing Lainton.
Chilwell's goal turned out to be the last kick of the game, with Pochettino left beaming with joy following his team's display.
He said in his post-match interview: "I was happy with the attitude and it's now time to improve more, which is part of the process.
"We are using this period to learn how we want to play. I am happy with the performance."