Wikipedia defines "Rainforest" as follows:
Rainforests are forests characterized by high rainfall, with definitions setting minimum normal annual rainfall between 1750-2000 mm (68-78 inches).
Rainforests are home to two-thirds of all the living animal and plant species on Earth. It has been estimated that many hundreds of millions of species of plants, insects and microorganisms are still undiscovered. Tropical rainforests have been called the "jewels of the Earth," and the "world's largest pharmacy," because of the large number of natural medicines discovered there.
The undergrowth in a rainforest is restricted in many areas by the lack of sunlight at ground level. This makes it possible to walk through the forest. If the leaf canopy is destroyed or thinned, the ground beneath is soon colonized by a dense, tangled growth of vines, shrubs and small trees called a jungle. The two types of rainforest are:

So what kinds of parrots live in rainforests? Most of the African species prefer the rainforests of Central Africa. These inlude Senegal parrots and Timneh and Congo African Greys. In the Pacific region we have Indonesian and New Guinea species like Solomon Island eclectus and Moluccan cockatoos and some Australian species like lorikeets, king parrots, rosellas and most black cockatoos. South America's Amazon rainforest has numerous parrot species such as many macaw species, amazon parrots, most of the conures and pionus. They have a huge range from Colombia and Venezuela in the north to the Peruvian Amazon and Tambopata areas. Rainforest parrots eat fruit, nuts, berries, vegetables and insects. Since some of their diet is toxic, they visit the clay licks to eat the clay which neutralizes the toxic items. Rainforest parrots are in danger of becoming extinct because of deforestation and human encroachment. The trees they nest in are disappearing and they often are captured by poachers.

Blue-headed pionus and white-eyed conures on clay lick

Black palm cockatoo at Cape York, Australia