I am thinking in terms of a material that won't leave any fibers behind when removed.
If a wound is so severe that it genuinely needs packing, fuzz from the packing is the least of your concerns in terms of debris. Such a wound will require full surgical debridement anyway.
American SOF medics have used Kerlix for decades to pack wounds.
Click here for a video showing how, as taught by a former SF
18-Delta.