The win gives Chelsea a ideal six points from two games, but the display was far from convincing against the Hungarian side.
"Mo Salah was the best a year ago, N'Golo [Kante] in the team is one of the best so we have a lot of good players".
It was just Morata's second goal of the season - his first was in August's Premier League defeat of Arsenal - and Sarri reiterated the striker's importance to the team.
Morata missed several other chances before scoring 20 minutes from time and Sarri is hopeful the striker will gain enough confidence from the goal to kickstart his season. He has to take confidence from his performance.
Six of Chelsea's last nine Premier League goals have been scored by the Belgian global, who also bagged a sensational victor in last week's Carabao Cup success at Liverpool.
One problem with Sarrismo is the way it exposes you to counter-attacks.
"We missed too many chances in a match like this, an away match against Chelsea".
National & World News, Russia delivers S-300 air defenses to Syria
Israel and Russian Federation have also maintained a hotline to prevent their air forces from clashing in the skies over Syria. Russian Foreign Minister Sergei Lavrov announced the deliveries had started during a United Nations press conference.
Ruben Loftus-Cheek made his first start of the season against MOL Vidi but should drop to the bench for the trip to Southampton.
And Hazard is adamant that Chelsea's squad is stronger than it was last season, despite the club selling the "best goalkeeper in the world" in Courtois.
Chelsea recently broke Liverpool's 100% winning record in the Premier League with a 1-1 draw at the Stamford Bridge.
Our starting 11 for today's game! They can play well and win, and play poorly and win, or even play poorly and not lose.
Having been booked for dissent earlier in the game, Morata appeared to be very emotional after scoring, burying his face in the shoulder of team-mate Willian, who created the goal with a flicked header.
"It has been very hard", Sarri admitted. Once they "get it", they will play well that's for sure.