You can snag this pretty easily in Franchise mode without having to do much work by jumping into the end of a simulated game.
Sim the first 2 periods of any given game, then slow sim to the final minute of the 3rd. If your team lets in a goal at any time, go ahead and move on to the next game. Intervene with less than a minute left, on 8x sim speed it should leave you with around 30 seconds left. Bump the difficulty down to rookie before you start the game. Make sure to position lock yourself into goalie or this won't work.
Once you're in the game the faceoff will be at center ice. You'll maybe have to make a save or two, as the other team will most likely pull their goalie if the game is close. After the clock runs out, you'll have your shutout and your achievement.