Allardyce, who has often clashed with Wenger in the past over his teams' style of play, said the Frenchman had almost succeeded in influencing match officials.
Allardyce said: "Arsene has most of the media in his pocket now and is almost - almost - affecting the officials so that you can't tackle an Arsenal player.
"That's something he's very clever at working on and it's almost working in his favour, you can see that.
"He can't be brought up for it because it's about another match - rather just before he plays us.
"There is a perception that we kick everybody and Arsenal's motivation is that you can't tackle us as you aren't supposed to.
"In terms of saying people are trying to injure players he's trying to influence, through the media, the referees and that's something they shouldn't get sucked in to."
Allardyce insisted that although football remained a contact sport, the days of players trying to injure opponents was long gone.
He added: "He's deflecting attention from the situation which says the game of football is a contact sport. You have to try to win the ball at all costs and if someone doesn't get it quite right people get injured.
"It was much more apparent in my day when people use to go out to try to hurt an opponent every week, but today it very rarely happens.
"I completely deny that my team deliberately injures players, certainly not. In the Premier League the commitment and speed unfortunately brings players together at such pace that it's almost impossible to avoid injuries."