A team spokesman said Renney was experiencing headaches and remained at the team hotel while the Oilers faced the Toronto Maple Leafs.
Associate coach Ralph Krueger took over in his place.
The Oilers opened a three-game road trip in Toronto that will take them to Detroit and Ottawa later in the week.
Renney was injured Monday morning when a pass deflected off a stick and hit him in the side of the head. He was cut and required stitches.