Clarke concedes he has already had words with defender Liam Ridgewell, who was accused of simulation to win a penalty during the recent win at Sunderland.
The Baggies head coach's comments follow on from Saturday's 2-0 defeat at Arsenal, when Cazorla appeared to go to ground after being untouched by Steven Reid and earned his side a penalty.
Clarke said: "I've spoken to Liam on a number of occasions this season. We spoke about a number of different incidents.
"I don't speak about players from other clubs but if one of my players goes down with something similar to that (Cazorla), then we'll talk about it."