Cyathea brownii should be planted in a semi-shaded position out of strong midday sunshine and chilling winds. The plant will become more tolerant as it matures. You will also need to consider the eventual size of the species when planting as they quickly form a trunk and do not like to be moved.
Cyathea brownii will need lots of water. Young plants can consume 1-2 litres a day so make sure it is a position where you can access the plant to water it every day. Drainage is important as the plant will not tolerate being waterlogged. Therefore getting the soil drainage correct is the key. A good humus open compost with lots of organic matter and high in nutrients is best.
Dig a hole 1m in diameter and 60-80cm in depth and fill this with drainage material like rubble and then cover in gravel to stop the top soil washing through. Then fill the whole with your compost securing the plant whilst trying not to compact the compost to much. To achieve this you may want to stake the plant if it is trunked to provide extra stability whilst the plant establishes its root system.
This species is difficult to grow in colder climates as the speed at which it grows means within a few years it become difficult to protect over winter in a greenhouse or conservatory.