Allardyce has never seen eye-to-eye with Wenger from the days he managed Bolton.
The West Ham chief said: "We had some tussles. Whenever we beat Arsenal, if we weren't labelled 'long ball' then it would be 'physical'.
"It was about finding a chink in their armour and exposing it.
"When you do that to top teams and beat them then their manager is not going to be very happy."