If you have InDesign CC 2019, when you select a Hyperlink and look in the Properties panel, you will see 3 buttons – ‘Remove Hyperlink’, ‘Edit Hyperlink’ and ‘Manage Hyperlink’.
Remove Hyperlink does what it says – it removes the hyperlink. However, it retains the applied Character Style which can be manually changed by clicking the [None] style in the panel.
Manage Hyperlink opens the Hyperlinks panel (if it’s closed) and Edit Hyperlink lets you edit it.
Hope this helps.
Adobe InDesign team
An error occurred while saving the commentBeth Bergeron commented
Same problem here. No "Delete Hyperlink" option as described by Adobe Admin. When I go to edit, I can't even adjust the character style to "None" as the hyperlink was applied to an image instead of text. I just want to delete this hyperlink without deleting images and replacing them. Frustrating!