Belarusian champions Borisov, who are unbeaten in their previous seven European home games and drew 1-1 at Red Star Belgrade in their first match, could have to face the likes of Lacazette and Alexis Sanchez.
The Gunners were and and running with the third goal. He has put his trust in me since then.
However, a minute later, the same duo combined again to contribute the opening goal, with Wilshere's cross being finished off by Walcott from close range at the second attempt.
Arsenal youngster was handed a debut in Belarus. BATE keeper Scherbitski's awkward pass found it's way to Walcott, who finished easily. Since BATE is now in good shape, and Arsenal has low motivation for the upcoming meeting, the hosts may well not lose.
For the first 45 minutes, he was simply wonderful, the living embodiment of an Arsenal style in danger of extinction, oozing pace, accuracy and effortless dynamism.
Arsenal fans were understandably happy for Giroud but, in typical fashion on Twitter, they found a way to have a dig at someone. A header from a Walcott corner fell into the path of Rob Holding - whose touch diverted the ball into the goal.
David Ospina couldn't do much more about Bate's goals but made a couple of good stops.
It was three soon after as Walcott whipped in a unsafe corner that was flicked on by Per Mertesacker and finished by Rob Holding for his first Arsenal goal. The Gunners were awarded a rather dubious penalty which was supposedly given for holding in the box.
Defender Hector Yuste netted with just two minutes to go to stun the Toffees and goalscorer Wayne Rooney said: "The goals were sloppy".
The home side had another good chance when Gordeichuk cut the ball back for Aleksandr Volodko whose shot was high and wide.
With the score locked at 3-1, Arsenal made an instant impact after the second half.
"The Gunners have a terrific record in home fixtures against lesser sides in the top-flight, beating West Brom 2-0 in North London on Monday, and should likewise complete another comfortable home win at the weekend".