Emery will be hoping to make it 15 unbeaten when Sporting CP visit the Emirates Stadium on Thursday in the Europa League.
Danny Welbeck scored the 77th-minute victor, which gave Arsenal sole possession of first place in Group E. The Gunners haven't lost in their last 14 matches and have found their form under manager Unai Emery, a three-time victor of the Europa League with Sevilla.
Just as he was picking up some form under new Arsenal boss Unai Emery, the forward suffered what looked to be a devastating ankle injury, although the full extent of it is yet to be confirmed.
Meanwhile, Carl Jenkinson and Emile Smith Rowe get another opportunity to impress. Matteo Guendouzi slots into midfield with Henrikh Mkhitaryan and Aaron Ramsey, while Danny Welbeck is up top.
Giroud ended his 11-game goal drought this season by giving Chelsea a 53rd-minute lead, and the Premier League giants held on despite BATE striking the woodwork three times in the match.
But Arsenal did secure a last-32 spot regardless, as Vorskla Poltava lost 1-0 at home to Azeri outfit Qarabag in the other Group E game.
Jeremy Mathieu was sent off late on for the visitors, and he will miss the next game.
"When we have the ball, we're all offensive players". Welbeck fired the ball on target but keeper Reman Ribeiro was equal to the task which led to the Longsight-born attacker remain down, before eventually being carried off to be replaced by Pierre-Emerick Aubameyang after a lengthy stoppage.
He was administered oxygen before being stretchered off the pitch.