So much in giving a dog meds is "how" -- you can't let the dog be "in control" as in struggling or saying 'no'. You have to be gentle but very firm and consistent. No, I'm listening to you -- but so often people approach something like this with discussion, and trepidation -- one thing happens bad and they dread it and the dog actually 'smells' their dread and intent and it all goes bad from there.
There is also a guess on my part that a disciplined approach probably isnt' your parent's way with the dog -- and that's going to ... ahem ... 'bite them' here. Because the dog is probably pretty used to saying 'no' when it wants to and your folks give up.
The tough part of this is they will need to use treats and you'll ahve to be careful WHAT treats since this is diabetic dog. But it's going to need to be something truly awesome -- like I'm thinking liver treats home made (not hard at all) or even slices of hot dog (not my preference because of the chemicals in them but whatever works here).
Now at MY house, 'biting the human' is just plain not EVER EVER EVER done. You just plain don't and you don't even try it and get away with it. That's cardinal rule #1 here.
I'd approach in a really no-nonsense fashion -- no apology, no moaning or 'aww baby I'm so sorry but we gotta do the nasty shot". NO. No 'poor poor baby' stuff at all. That will totally work against you and it warns the dog. No begging the dog to come to you. LEASH the dog - it signals "human in control" and it also gives you the ultimate 'control' - then it is simply a matter of maneuvering into position.
IF you have to chase the dog to put the leash on? LEAVE IT ON 24/7 for a while -- if this dog is THIS out of control, I've a feeling the dog may need a good dose of "Nothing In Life Is Free" in any event.
"Poochie, sit." (and treat).
"Time for your shot - this is gonna help you feel better."
If it were ME, I'd be on the floor with the dog between my legs or laying down with one of my legs over the dog's back (depending on size). You can get a lot of leverage with your leg over the dog's back (no matter the size).
probably one - either your Dad or Mom - needs to deal with the head. And if the dog is prone to biting, even a piece of gauze can make an effective muzzle. That would actually hold the mouth shut - with a regular muzzle the dog can bark and be pretty defiant. My first choice would be simply holding the mouth *firmly* shut either with my thumb under the chin and my fingers over the top of the muzzle/nose or depending on how strong the dog is, maybe my fingers underneath and my thumb hooked over the top of the nose. Remember - they have to open their jaw DOWN -- so do whatever works best leverage wise.
But simply get a good hard grip and do NOT let go. Most people will underestimate a dog's strengh -- and they relax marginally and a dog, being a dog, senses that change in muscular pressure and jerks.
Another effective way to hold the dog is to put the dog up on a table and have one person lean over and put their arm around the dog's neck pulling the head to your shoulder in a hug. Lean on your elbow and then simply lock your heel of your hand under your own chin -- literally hold the neck in the crook of your elbow, and LEAN your chin HARD on your own palm, trapping the neck in the crook of your arm. If you lean HARD your arm will effectively collar the dog and the dog can't get loose to bite. With your other arm you can HELP hold the body
You could do this on the floor as well.
But bottom line you can NOT be afraid -- you can't be weak here or "afraid to hurt her". The thing that WILL hurt is her struggling so you have to just get a major grip on her and make it happen.
If this were my dog, I'd be doing NILIF right along with this. I'd be practicing stay, sti and all manner of things all the time -- it's critical that shots are not the only time there is discipline or treats.
But they can't just give up or get up set or scream or yell at each other (that always happens with we humans) -- and if it were my dog I'd be having a big strong heart to heart before hand --"Now look -- you are sick. In fact, if you don't get with the program here and LET us give these shots you are going to die very very young. These are going to help you. I'm not the enemy, I'm your mother and the quicker we get this over with the quicker YOU get a treat."
I'm not talking down to them -- but lots of times people just aren't used to making sure the dog does what it should EVERY time. So then they get confronted with something like this that is both scarey and unpleasant and oh boy -- it gets tough real fast.
Talking to her in a normal positive tone should help.
And honestly -- you may find that they will have to give her something like valerian tincture before just to calm her down enough to accomplish this. Probably the alcohol one -- and you can actually set the bottle, open, in a pan of boiling water (water below the level of the liquid in the bottle) - turn off the heat and just let the alcohol evaporate - makes it more palatable. yes, it's one more thing to give but it would likely make giving the shot much easier. And you can mix valerian in with some tahini (which doesn't have sugar in it) and it should be pretty yummy.