Mikel Arteta was likely looking to put last week’s refereeing outburst behind him and his side’s win over Sevilla set him up to maintain momentum for The Gunners’ Premier League challenge.
In-form forward Leandro Trossard scored early in first-half injury time, but Josh Brownhill scored for the visitors less than 10 minutes after the restart.
Burnley had equalized – but it took arsenal less than two minutes to respond – William Saliba put his side back in front at the Emirates as he nodded in from close range as he got ahead of the goalkeeper from a Leandro Trossard corner.
On 74 minutes, another corner and another defender – this time Oleksandr Zinchenko – made it three as the Ukrainian connected with an acrobatic volley to increase the lead to two goals.
There were late nerves for Arsenal as Fabio Vieira saw red for a high challenge on Brownhill.
The win means Arsenal move up to second, level on points with league leaders City, though Pep Guardiola’s side are yet to play this weekend.