Yes, you can propagate an Anthurium, and it is a simple task to accomplish. Propagating an Anthurium can be needed to use a portion for gifting but is also required at some plant life stages. These plants can get so large and full that they will need separation to continue blooming. If you want to separate your plant, remove it from the pot, separate the roots, and repot the separated plants in fresh soil and provide a thorough watering.