You can find some great information regarding Anthurium on this web page of the Exotic Rainforest: https://www.exoticrainforest.c...
Steve Lucas was an extremely knowledgeable Aroid grower who passed away about nine years ago and he is greatly missed by many. I still enjoy reading and learning from his web pages. You will notice that his text states that there is no such thing as an Aquatic Anthurium but there are theophytic species that grow attached to rocks in fast moving streams ... i.e. water that is constantly moving.
I agree with Gina, Anthuriums do require high humidity to do well. If you can't mist or fog, you can sit the plant atop a tray of moist pebbles; always keeping a small amount of water in the tray. As the water evaporates, it raises the humidity around the plant.
I am one of those who has advised to water a plant thoroughly, saturating the soil until water is exiting the drainage holes and then not watering again until the first inch or two of soil is dry but I really need to refrain from that advice because how often to water a plant will always depend on the type of soil that is being used and bagged soils are not all created equal; some are extremely heavy and water retentive and best used only for outdoor garden plants where water can freely drain into the surrounding soil, away from the plants roots. A good soil for indoor plants is one that is a light and airy mixture, allowing for aeration at root level and adequate drainage. Using a heavy, water retentive soil for growing indoor plants is detrimental to the health and vitality of the plants, especially if one has a specific "schedule" of watering. Quite often I hear people say "I water once a week or, "I water every week and a half to two weeks"
but depending on the plant and the type of soil being used, that may be too little or too much water. Continually adding water to a heavy soil that is not being allowed to dry sufficiently will deplete oxygen levels at the plants roots, leading to rot and the demise of the plant. On the other hand, lightly sprinkling water onto the soil does not supply sufficient moisture that will reach the root system and the plant will slowly wither and die. It's all a learning experience that we each encounter as we become interested in gardening, whether outdoors, or growing indoor container plants.
Some plants can grow happily in water but just like plants growing in soil, the roots require oxygen so the water must be moving to provide the necessary oxygen for the plant to survive. I've had a few philodendron plants growing in glass jars of water for a few years now and I have to remember to change the water out and refill with clean water every week or the water will get stagnant the roots will rot. I have a Peace Lily plant that's been sitting in a fountain for three years now, with it's roots growing out the bottom of the pot into the water but the water in the fountain is constantly circulating and the plant is very happy and healthy.