Arsenal have already progressed to the last-32 of the Europa League with the top spot, but they still have something to play for after having dropped points in each of the last two European matches.
Mathieu Debuchy started the scoring with an arrowed shot across the goalkeeper after only 11 minutes before Theo Walcott and Jack Wilshere scored late in the half to give the Gunners a three-goal lead at the break.
Wenger was pleased to toast his landmark win and felt his players delivered it in style.
Speaking after the game, Wenger said: "I believe that it was done in a stylish way and in a technically-high quality game from our side". "You could say, yes the opponent was not exactly the level of the Premier League, I would agree with you, but you can only do your job, and that's what we did in a convincing way, in a remarkable spirit".
Wenger, though, said the low attendance was only natural and that it didn't have an effect on the players.
"You respect the decision of your fans [to stay home]". "You can not keep players happy, but they deal well with it and it's a problem we all have to deal with".
Arsenal's best performance of the Europa League group stage so far came against BATE in the 4-2 win in Belarus in September so perhaps we'll be in for a bit more entertainment tonight.
BATE coach Aleksandr Yermakovich admitted his side were not ready for the Arsenal onslaught as their season ended in heavy defeat.
Injuries to key offensive players, such as Yannick Bolasie and Ross Barkley, have contributed to their problems but the general consensus is that Allardyce's predecessor Ronald Koeman and his scouting team failed to adequately replace the Belgian star.
"We were not prepared for this match, we were trying to play for our fans and play attacking football, sadly it didn't happen".