The act of holding a dog down forcibly as a correction is generally called the "dominance down."
It is inappropriate, ethologically absurd, and completely counterproductive when interacting with dogs.
In a nutshell — don’t do it.
Ever.
This is flawed in multiple ways.
Before an owner performs the dominance down, there are rarely any body language signals exchanged that would make any sense to the dog.
This makes the interaction confusing for the dog.
It comes out of the blue, which makes it scary, and for some dogs it looks like an invitation to fight.
Owners throw dogs to the ground without warning.
This causes fear of the owner and puts dogs predisposed to aggression in a fighting mood.
Fear doesn’t equal obedience.
It just equals fear.
If you just won’t give up on the idea that your dog should submit to you, why don’t you just teach your dog to lie down on his side.
Then, when you want to show him that he should be submissive, you can just ask for it.
That seems a lot easier than holding your dog down.
If you want to show your dog that you are more powerful, intelligent, and dominant, while also teaching him to be obedient, get a handful of treats.
Then, use the treat to lure him into the down position.
When he can reliably lie down on cue, you can start to use the treat to lure his head back toward his shoulder.
When he is consistently falling onto his elbow, move the treat back to lure him onto his side.
Then, pair this action with a verbal cue such as "lie on your side."
Easy as that, you have achieved your goal — an obedient dog who gets into the submissive position.
And you will have done it all without fear, intimidation, or force.