The Gunners ran out 3-0 winners, with headers from William Saliba and Gabriel Jesus giving them an early lead in the first half, before a brilliant long range goal from Fabio Vieira ensured all three points were going back to North London.
Story of the match
It only took two minutes for Arsenal to have a chance they should have converted, with Granit Xhaka cutting the ball back to Gabriel Martinelli on the edge of the box, but the Brazilian's effort was tame.
Brentford started the game off the better of the two sides, showing why they are so hard to beat at home in the first 15 minutes. The Bee's defended well with 11 men behind the ball, allowing no gaps for Arsenal to try and exploit.
It was the Gunners who broke the deadlock though through Saliba. The towering French defender rose the highest to meet Bukayo Saka's corner at the near post with a glancing header which went in off the post, despite David Raya's best efforts.
Arsenal doubled their advantage on the cusp of the half hour mark, with Xhaka delivering a chipped cross into the box, which was met with a bullet header from Brazilian striker Jesus, netting his fourth Premier League game of the season.
Arteta's side came out for the second half firing on all cylinders, and it was a matter of minutes before they added a third. Saka fed the ball into Vieira who smashed the ball past Raya from 30 yards out, scoring his first goal for Arsenal since joining the club from FC Porto in the summer.
Brentford almost produced a spectacular reply just moments later, with Ivan Toney, who has recently been called up to the England national side, volleying the ball just over the crossbar from a free kick on the edge of Arsenal's box.
Arsenal came close to a fourth, with Saka's curling effort being well saved after some brilliant build up play between Martinelli and Kieran Tierney.
With five minutes left on the clock, Jesus came close again, winning the ball back deep in the Brentford half, before cutting into the box and forcing a great low save out of Bees keeper Raya from a tight angle.
Arsenal were able to see out the result, capturing an important three points which see's them move to the top of the Premier League. Brentford still remain in the top half of the table, suffering only their second loss of their campaign.