The Spaniard cut back to the near post, where Alexandre Lacazette took a lovely touch, turned, and fired in a 29th minute opener.
The Gunners have not enjoyed such a lengthy winning streak in 11 years but, despite being slow out of the traps, Alexandre Lacazette's brace set them on course for a 5-1 Premier League win to move them above neighbours Tottenham and into third place.
On his potent strike-force, Emery added: "It is one process, to know better after training, after every match, after every decision, how we are better on the pitch, between the players, in our tactical system and impose our timing on the pitch in possession with the ball".
The breakdown of Aaron Ramsey's contract talks is another thorny issue that Emery has so far navigated successfully, as the Wales midfielder showed his class with a committed display and superb goal at Fulham.
Bettinelli made an excellent one-handed save to deny Hector Bellerin just after the break, but he was beaten in the bottom-left corner barely a minute later as Lacazette blasted home his second of the game on the half-volley.
Lacazette is flying under Emery this season and scored with his first two shots on target of the match at Craven Cottage.
Aubameyang completed the rout with a long-range drive in stoppage time.
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But Bottas, who was sat next to Hamilton in the same press conference, said he did not want to be gifted a victory. Vettel was encouraged unexpectedly by Ferrari's performance on Sunday when he followed Hamilton and Bottas.
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Arsenal started the season poorly and lost their opening two league games.
Although Emery has said he would like to keep Ramsey, who is Arsenal's longest serving player after joining in 2008, Arsenal are keen to keep their wage bill under control and look willing to allow the Welshman to leave on a free transfer, just as Jack Wilshere did during the close season.
Arsenal have now won six straight matches in the EPL and nine in all completions.
The win was Arsenal's ninth in succession in all competitions - their best run since stringing together eight successive wins from March to April 2015 - and put them into the top four.
The two substitutions saw Arsenal shift gears, with Ramsey adding a third moments after entering following Aubameyang's assist. "It is very hard but we must prepare, continue improving and show big commitment", said Emery.
However, they invited Fulham onto them early on and Bernd Leno, who was making his first Premier League start, was abruptly forced into action.
Torreira will hope to start again for the Gunners after the global break when they take on Leicester at the Emirates.