Successive heavy losses in the Premier League had left manager Pochettino under intense scrutiny, but first-half goals by Conor Gallagher and Nicolas Jackson put Chelsea in control before Enzo Fernández struck a sublime free kick after half-time.
Villa, who are on the fringe of the Premier League title race and 15 points above Chelsea, were outplayed pretty much from start to finish as their Cup hopes evaporated and Moussa Diaby‘s late effort was a mere consolation.
Eight-time FA Cup winners Chelsea will host Leeds United in round five and also have a League Cup final against Liverpool to look forward to later this month.
Pochettino’s pre-match news conference on Tuesday had seen the Argentine field questions about whether or not he still had the backing of the club’s owners with his side in 11th place in the league despite a massive outlay on signings.
Bizarrely the former Tottenham Hotspur and Paris Saint-Germain manager also came under fire from the wife of his experienced defender Thiago Silva who took to social media calling for change after a 4-2 home drubbing by Wolverhampton Wanderers.
Veteran Silva was left on the bench at Villa Park but Pochettino’s young guns finally delivered the kind of sustained display that has been sadly lacking this season.
“I think so,” he said when asked whether it was the best performance since he took charge last summer.
“I’m so happy with the performance. It’s about being solid and consistent and that’s the most difficult for a young team to find the balance. Today I was so pleased, the team were ready to compete, ready to fight with energy and attitude.”
Villa actually began brightly but were stopped in their tracks in the 11th minute as Jackson pulled the ball back for Noni Madueke who teed up Gallagher to sidefoot a clinical finish into the roof of the net.
Fernández’s impact at Chelsea has failed to justify the more than £100 million ($126m) the club splashed out to sign him.
The joy amongst the buoyant Chelsea fans was unrestrained and while one victory will not take the spotlight off Pochettino, Wednesday’s performance might just prove to be a turning point.
“It was exactly the reaction we wanted and needed. It wasn’t about wanting a reaction. We needed it. Fair play to all of the boys,” Chelsea defender Ben Chilwell told ITV.
“We wanted that pressure. We thrived off it. The confidence before the game in the changing room was the best it’s been.”