Cooke was assessed a major penalty for checking from behind and a game misconduct after hitting McQuaid into the end boards in the Bruins' zone early in the second period. After the whistle, McQuaid left the ice without assistance.
"I see his right shoulder and he looks me right in the eyes," Cooke said on Sunday. "I think at the last minute he goes to make a reverse with the puck. I committed to hit him. I don't drive him through the boards. I make contact. I think it's a penalty. But I don't think it's an ejection or suspension. That's my opinion."
"We all know the history with (Cooke)," said Penguins captain Sidney Crosby after the game. "It's going to be looked at and scrutinized a lot more because it's him, but I wouldn't go as far to say it's a penalty because it's Cooke."
Bruins forward Chris Kelly came to McQuaid's defence and was given a minor penalty for roughing.
The Bruins won the game 3-0. Game 2 is scheduled for Monday night in Pittsburgh.