Olivier Giroud stepped up for the spot-kick and dispatched it, scoring his 100th Arsenal goal.
Arsene Wenger has now won a Premier League game against 44 different teams - level with Sir Alex Ferguson.
Theo Walcott heads in the opener.
BATE goalkeeper Denis Scherbitski blundered in the 22nd when his clearance found Walcott at the edge of the area to score his second with a low shot.
Arsenal got a corner which was taken by Walcott, headed on by Per Mertesacker and put into the back of the net by Rob Holding, from a few yards out, for his first Arsenal goal.
As expected, Arsenal made a number of changes to the XI from their victory against West Brom on Monday.
Aleksey Rios - 5/10 - Rios defended well on occasions, and blocked numerous Maitland-Niles crosses and denied him after Wilshere got the ball to him in a risky area. Shkodran Mustafi was held back in the box, and Olivier Giroud converted the penalty to score his 100thgoal for Arsenal.
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Defense Secretary said on Tuesday that Washington will work with New Delhi to eradicate terrorist safe havens across the world. New Delhi has committed $3 billion in development projects in Afghanistan and trains Afghan officers in India.
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Moreover, Apple is not charging users an extra amount for 4K content. 4K movies will be charged as much as the HD version. Apple succeeds in its main objective with this upgrade: 4K content looks great, on a 4K television set.
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One of those released is a 21-year-old, originally from Syria, detained outside a fast-food restaurant in west London on Saturday. He will also face a second charge under the Explosive Substances Act, for causing a blast likely to kill or maim, BBC reported.
Walcott was inches from a hat-trick before the break, forcing Shcherbitski into a superb fingertip save, before Holding hit the post from the resulting corner as BATE struggled to deal with Arsenal's set pieces.
Suddenly Arsenal's lead didn't look as comfortable as BATE grew into the game and David Ospina had to be alert and make a superb one-handed save to deny BATE a second goal.
Positives: Wilshere had a great first half, Willock was powerful and dominant throughout, Giroud scored his 100th Arsenal goal, McGuane and Nketiah made their professional debuts. He fights until the end. It has been a while since I felt a proper Arsenal player but I am back, in training, back in the squad, playing these types of games.
"Obviously, I am an attacking player, so when you are an attacking player, you need to create goals and get goals - and that's the main thing for me". He's on the way up. "He is on the way up and he has only been stopped by a series of injuries", the manager added. I just pray that he is not hampered any more by any problems, then you will see him getting stronger and stronger.
Wilshere finds himself in Arsene Wenger's plans once again and the midfielder is now looking to reignite his career at the Emirates.
However, Wilshere looked close to his best in the away success in Belarus, and the long-serving Gunners player has admitted that he is feeling positive about his current form and fitness.
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