By halftime, a 2-0 lead raised hopes the hosts may progress beyond the group stage.
"We saw that we are on the right track but we should forget this game and concentrate on the next one", Cherchesov said after ending a seven-game winless run in emphatic style.
At the opening ceremony on Thursday, President Vladimir Putin spoke of showing the world a hospitable Russian Federation and stressed sport's ability to build bridges and overcome differences.
First he jinked around three hapless defenders to fire Russia's second into the roof of the net, before producing an early contender for goal of the tournament, curling a sublime left-footed strike into the top corner in the first minute of injury time.
He said: "Unlike courageous Russian protesters, I have the "protection" of a British passport, which means I have been treated more leniently than they are".
After Cheryshev's first goal, Artyom Dzyuba made an instant impact off the bench to make it 3-0 in the 71st with a header from Golovin's cross.
It also helps if you are facing a team who have now lost eight and drawn two of their last 10 World Cup matches, whose defending fell painfully short of World Cup standard and whose attack was non-existent.
Anthony Joshua vs Deontay Wilder
Not as good as we feel it should be, but we want the fight, and we're willing to take what they offered", Finkel said. But we need to get the contract back from Deontay Wilder - then we will know if this is bluster or if he is serious'.
Luzhniki exploded into raptures after only 12 minutes when Yury Gazinsky headed home for the opener.
The Spaniards were left reeling following the sudden firing of head coach Julan Lopetegui on Wednesday, but maintain steady +650 odds to claim their first World Cup title since 2010.
British pop star Robbie Williams performed at the opening ceremony at the Luzhniki, which will also host the final on July 15.
Who do you think is going to get the first win on the board at the 2018 World Cup?
Saudi Arabia's route to the knockout round is much more hard. Saudi Arabia take on Uruguay on June 20 in Rostov-on-Don.
While Neymar, the world´s most expensive player, has recovered from a broken bone in his foot in time, the strength of prolific Egypt striker Mohamed Salah´s injured shoulder is less certain.
The home fans finally held their breath in the 56th when Taiseer Al Jassam just failed to slide into a sharp cross in front of an empty Russian goal on the only serious chance for the Saudis.
Casualty ward Alan Dzagoev has been Russia's most exciting creative force of the past decade, having become its youngest ever outfield player in 2008.