
Yes, it is possible to study parrots with GPS trackers — you just have to make them beak-proof. Researchers sealed GPS devices in tough polymer before attaching them to captured Keas (Nestor notabilis) using backpack harnesses. They successfully tracked 10 birds for a week and identified where and when they foraged, roosted, and interacted with tourists.
http://feeds.sciencedaily.com/~r/sciencedaily/~3/q0Cdys-a8nc/150218165836.htm