We get cut paws regularly, running over rocks, sharp windfall timber, chasing pigs and goats. The dogs will tell you they have a problem soon enough, if they can’t deal with it themselves by licking it clean. I’ll wash the paw in warm salt water to get the worst of the puss out, and then use the old school Zam-Buk, pushing it right into the cuts. Light duties for the dog for a couple of days, job done. Its never not worked, that method. Goes without saying, a staunch well fed dog with a good immune system is the best defense against infection. Mercurochrome was the go to ointment for general use for a long time until it got reclassified and hard to get. So now we dip paws and wipe scratches in an iodine solution for general maintenance purposes.
Funny you mention superglue, that’s not unusual here. Perhaps the most important tool to carry in the ute when hunting with dogs is the staple gun. Getting ripped by a pig is a regular occurrence. A proper surgical one is nice to have, but a heavy duty stationary stapler will work too. Combined with superglue, you’d be amazed what you can deal with in the bush.