Synonyms of detach in English:

unfasten, disconnect, disengage, part, separate, uncouple, remove, loose, loosen, untie, unhitch, undo, unhook, unbutton, unzip, free, sever, pull off, cut off, clip off, hack off, chop off, prune off, nip off, tear off, break off, strip off, disunite

rare disjoin

free, separate, segregate

move away, walk away, move off, split off

leave, abandon

dissociate, divorce, alienate, separate, segregate, isolate, cut off, delink

break away, become estranged, disaffiliate, defect

leave, quit, withdraw from, secede from, break with, part company with, sever connections with, break off relations with

reach a parting of the ways

British informal bust up