Cazorla struck the third goal for Arsenal as they came from behind to win and Walcott has branded the Spaniard "an absolutely fantastic player".
"He has taken the Premier League by storm, he is an absolutely fantastic player to play with and train every day. Santi has stood out. He is our conductor," Walcott told ESPN.
"Step by step, we know where we want to be this season. We want to be right up there. We have had some great players come in."
The result has moved Arsenal into fifth in the Premier League table.