The quickest way to complete this achievement is to first make your ultimate team and then go to "Play Vs. CPU". Once the game starts and about 30 seconds have run off the clock (and you have possession of the ball?), you can press start and go to "Coaching Options". From here just click Supersim and click end of game... it will count as a game played.
However, it made me play a game before my achievement unlocked, so just go ahead and sim 19 games and play the 20th at one minute quarters. Simple!