The Toffees, who have a game in hand on the rivals, are just four points behind the Gunners in the race for Champions League football, but Coleman believes that Arsenal will feel the pressure of being expected to finish in the top four.
"I think all the pressure is on Arsenal really because they are expected to finish in the top four and were challenging for the league," the Republic of Ireland international told members of the media.
"But we have got pressure in the changing room among ourselves that we want to perform well, but going into the game the pressure is on Arsenal.
"The way we have been playing there for over a year now means we are confident."
Everton have won their last five games in the Premier League.