Unai Emergy's side were leading 2-1 when the Spanish coach turned to the Gabon global and teammate Aaron Ramsey off the bench midway through the second half, with two goals from Alexandre Lacazette coming either side of Andre Schurrle's strike.
The former Borussia Dortmund forward completed his epic brace at stoppage time after being perfectly set up by Ramsey.
"They are at a big level in the matches and every player wants to play".
Fulham, meanwhile, are still without a clean sheet and have conceded more goals than any other side in the top flight.
"Arsenal showed their quality and pace, but we surrendered in the last 10 minutes".
Newcastle win highlights support Jose Mourinho still has at Manchester United
I am a big boy, but clearly, some of the boys - Marcus Rashford was sad on the pitch; Scott McTominay was scared on the pitch. Mourinho further joked that the rain in London would be his fault as would the negotiations for Brexit failing.
Liverpool vs. Manchester City - Football Match Report
It's still early in the season, but City will likely feel this was dropped points against a key Premier League rival. One situation and they are alone in front of your goalie, or alone in the box and they shoot and score an easy goal.
Jared Goff shows his command in Rams' 38-31 win over Vikings
After rushing for more than 1,100 yards and 10 touchdowns as a rookie three seasons ago, Gurley struggled in his second season. Cooper Kupp and Robert Woods have returned with even more chemistry with Goff after breaking out last season.
[I was pleased] not only with the first XI but with the substitutes.
"It was an important goal for Aaron and an important goal for us", said manager Unai Emery with more than a touch of understatement.
After losing his first two matches - to champions Manchester City and Chelsea - the new boss has overseen a run of nine wins in a row in all competitions.
Twitter reacted to Arsenal's victory and here are some of the best tweet.
Arsenal were a different side after the interval and Bettinelli - called up by England this week - produced the save of the game to keep out a fierce strike from Bellerin, moments before Lacazette added his second - an early strike from long range which seemed to catch the Fulham keeper by surprise as it nestled in the bottom corner. They have the capacity to play lots of matches.
- Lacazette has been directly involved in six goals in five starts in the Premier League so far this season (4 goals, 2 assists).
Substitute Pierre-Emerick Aubameyang got in on the action, grabbing two goals in a memorable 30-minute cameo. They will play Leicester City after the global break and will then make a trip to Portugal to play Sporting CP in the Europa League.