I am unable to remove icons from the home screen using the long hold method.

Does anyone know how I can do this? When I press on the icon I can feel the phone vibrate however it doesn't "lift" the icon and the Trash button does not appear. Not sure if it is a setting issue or something wrong with my phone. I have a Samsung Note4

Does the problem persist after a reboot? If no go you could try clearing cache for the Touchwiz launcher in your settings - apps - all tab and then reboot. Tell us how it goes.