After last weekend’s 1-1 draw against Liverpool, Pochettino’s side wasted a lively performance against West Ham as they paid the price for sloppy defending and wasteful finishing at the London Stadium on Sunday.
West Ham, reduced to 10 men in the second half, won 3-1.
Antonio blasted West Ham’s decisive second goal after halftime and Lucas Paqueta added a late penalty to leave Pochettino still waiting for his first Premier League win since taking charge in the close-season.
Chelsea teenager Carney Chukwuemeka had scored an eye-catching first half equaliser to cancel Nayef Aguerd’s early opener for West Ham.
But the turning point came when Fernandez’s penalty was saved by Alphonse Areola just before the break.
Antonio netted soon after the interval and Chelsea couldn’t respond despite Aguerd’s dismissal for a second booking midway through the half.
Paqueta, reportedly the subject of an FA probe into betting breaches, applied the knockout blow in the final seconds.
Dating back to last season, Chelsea have won just five times in 31 league matches, while their only victory in their last 14 top-flight games came at Bournemouth in May.
They have also lost four successive top-flight London derbies for the first time since 1990.
Much of the blame for those dismal statistics lies with Pochettino’s predecessors Graham Potter and Frank Lampard, who struggled through a turbulent campaign that ended with Chelsea’s lowest finish since 1996.
Pochettino has been tasked with cleaning up the mess, but despite recent signings of Moises Caicedo and Romeo Lavia taking Chelsea’s total spending under owner Todd Boehly to more than £850 million ($1.08 billion), the squad remains a work in progress.
Putting his faith in a largely youthful team is a gamble from Pochettino, whose side’s lack of experience was exposed in the seventh minute.
James Ward-Prowse’s corner was whipped to the far post, where Morocco defender Aguerd easily evaded Conor Gallagher and Chukwuemeka to nod home from six yards.
Since his Premier League debut in 2012, Ward-Prowse has 25 assists from set-plays, with only Christian Eriksen providing more in the competition over the same period.
Dominating possession after that setback, Chelsea deservedly drew level in the 28th minute.
Kurt Zouma miscued a weak clearance and Chukwuemeka cleverly shifted the ball away from Tomas Soucek before smashing a fine finish into the far corner from 12 yards.
It was Chukwuemeka’s first Premier League goal, underlining the potential that convinced Chelsea to sign the 19-year-old midfielder from Aston Villa last year.
Chelsea were in command and Raheem Sterling’s driving run won them a 42nd minute penalty after the winger was sent tumbling by Soucek’s clumsy tackle.
But Areola plunged to his right to make a superb save from Fernandez’s tentative spot-kick, denying the Argentine midfielder his first goal for Chelsea.
The Blues suffered another blow when Chukwuemeka limped off on the strike of halftime.
Antonio had just five touches in the first half but the West Ham striker made the most of a rare involvement in the 53rd minute.
Chelsea defender Levi Colwill and Axel Disasi were bullied by Antonio, who took Ward-Prowse’s pass and used his strength to manouevre into position for a ferocious strike that flashed past Sanchez from the edge of the area.
With an hour gone, Ecuador midfielder Caicedo came on for his Chelsea debut after joining from Brighton for a British record fee of £115 million ($146 million).
Caicedo blazed over from distance with one of his first touches in a Chelsea shirt.
Aguerd’s 67th minute red card, earned for a clumsy second booking when he chopped down Nicolas Jackson, handed Chelsea a potential lifeline.
But the visitors laboured to mount a response and Caicedo’s debut to forget was complete when he fouled Emerson in stoppage-time, conceding a penalty that Paqueta fired past Sanchez -SuperSport.