The activists, including the suspects' lawyers, claim the transfers were made without any legal basis and without their knowledge.
The Jakarta Post reports the seven suspects - Buktar Tabuni, Agus Kossay, Fery Kombo, Alexander Gobay, Steven Itlai, Hengku Hilapok and Irwanus Uropmabin - were arrested following the protests against racism in Jayapura.
The coalition said the prisoners were members of the West Papua National Committee and the United Liberation Movement for West Papua.