He can also understand, grudgingly, why the NFL suspended him one game as punishment for a series of similar hits over the last three seasons.
What Harrison doesn't quite understand, however, is why the Browns haven't also been disciplined by the league for allowing McCoy to return to the game so quickly if the quarterback was in such bad shape.
"If he was hurt so bad I don't know why they let him back in ... two plays later," Harrison said. "Something should be done to them, I would think. I don't know. I got a game, what should they get?"
League spokesman Greg Aiello said the Browns will not be penalized for their handling of McCoy's injury.
McCoy was escaping pressure late in the fourth quarter when he tucked the ball as if to run. Harrison, who had been in coverage, approached ready to strike. McCoy pulled up at the last second and flipped the ball to running back Montario Hardesty right before Harrison mashed McCoy with his facemask.
Harrison contended after the game that McCoy ducked. Looking at the tape he's not so sure.
"I guess he's a little shorter, who knows? I don't know," Harrison said. "When it came down to it, my helmet hit his. Oh well."
The quarterback was down on the field for several moments but was cleared by the Browns to return a few plays later -- just in time to throw a clinching end zone interception in a 14-3 Pittsburgh win.
McCoy developed concussion-like symptoms following the game and hasn't practiced since while the Browns have come under scrutiny for the way they handled the situation.
Cleveland's failure to check McCoy for a concussion led the NFL to put a certified trainer in the press box at each game to help monitor head injuries.
Harrison practiced Wednesday for the first time since the suspension. The 2008 NFL Defensive Player of the Year doesn't think he needs to change the way he plays to avoid further disciplinary action.
"I'm doing everything they ask me to do," Harrison said. "I've lowered my target area, that's it."
Harrison, who has lashed out at league officials in the past for their crackdown on what is considered dangerous hits, seemed more nonplussed about the suspension than previous fines.
"I'm not worried about anything," he said. "I can't foresee the future. I'm not a fortune-teller. I'm going to deal with it as it comes."
Information from The Associated Press contributed to this report.