Since their last promotion to the Premier League in 2016, Burnley have failed to take a single point from the Gunners, losing all six league fixtures against Arsenal before Saturday. Despite that poor record, Sean Dyche's men were far from intimated at the Emirates, pressuring their opponents throughout the first half.
But their determination was not enough to avoid a first defeat of the season, with Arsenal taking the lead 13 minutes in as Lacazette scored the opener.
Seconds earlier, Burnley goalkeeper Nick Pope denied the France striker a headed goal with a reflex save from close range, but Lacazette found the net from Dani Ceballos' resulting corner, controlling the ball well in a crowded box before spinning Erik Pieters and blasting a shot in at the near post.
Ceballos' assist was one of a number of promising moments as the Real Madrid loanee proved the man of the match in his first start for Arsenal, with the Spaniard showing off some flashy footwork and tidy passing throughout the game. Meanwhile, there were debuts for David Luiz, who joined Arsenal from Chelsea this summer for £8 million, and the Gunners' record signing, Nicolas Pepe, who came off the bench.
The winger only arrived after a dramatic end to the first half, though, as the visitors levelled on 43 minutes and Arsenal were denied a second goal by VAR; Reiss Nelson's strike in added time was ruled out due to Nacho Monreal crossing from an offside position, just minutes after Ashley Barnes poked in the equaliser from close range.
It was Barnes' third goal in his side's opening two games this season, following the 29-year-old's brace in a 3-0 victory against Southampton at Turf Moor last week.
Burnley endured a tougher second half, forced to defend throughout as Arsenal enjoyed the majority of possession. The home team's mounting pressure paid off shortly after the hour mark, with Ceballos winning the ball deep in the Clarets' half and Aubameyang pouncing before guiding a finish past Pope from the edge of the box.
Unai Emery's side were largely untroubled through the rest of the half and -- following last week's 1-0 win away at Newcastle -- were able to make it back to back wins at the start of a league campaign for the first time in 10 years.
Arsenal next face Liverpool at Anfield in the Premier League on Saturday Aug. 24, while Burnley play Wolves away on Sunday Aug. 25.