It sounds suspiciously like the training of the "Unsullied" soldiers of the Game of thrones universe. I wouldn't fear asking for some evidence.

Its definitely false and like the others said is one of the myths floating around about the SS.

Some SS troops had intense training and amazing equipment and were the big badasses you may be envisioning. Many more were conscripts with dubious commitment to the Nazi cause.

The whole idea is kind of ridiculous....

You also have to remember that despite all the movies you've seen, the Nazis (and indeed every other power ever) has considered itself to be "the good guys". We are very accustomed to seeing stone-faced Nazis marching in perfect order down streets of conquered nations. (always overcast, raining, or snowing)

They were not being trained to kill puppies - they were being trained to fight against the enemy, which yes, often included civilians. That being said it was always emphasized that the civilians were partisans, saboteurs, Jews (a sickness that would infect the nation!), Communists or something else. Those enemies were considered Dangerous. Forcing soldiers to kill puppies doesn't prepare them to murder people.

Its pointless and expensive (who is supplying these hundreds of thousands of puppies?). Also wouldn't the surprise be pretty much ruined once the first class of guys makes it through training? In Game of Thrones the Unsullied are child slaves so you can lie to them all you want. The SS is a giant organization and I'm sure if everyone of them had to kill a puppy it would filter down to the recruits that you shouldn't care about it since its doomed anyway, which would render the whole stunt pointless anyway.

It must also be stated that the Nazis themselves recognized that their men generally DID NOT like shooting helpless civilians in the face. Check out the book "Ordinary Men" about a German police unit that was forced to execute large numbers of civilians - many of the men had emotional breakdowns or needed to get blindly drunk to go through with it. Part of the reason for the death camp gas chambers is to save the soldiers from having to execute millions of people themselves - the gas chambers did it neatly and tidily and out of sight - and in fact were often operated by Jewish inmates (Sonderkommando) who got special privileges for doing this awful job.

As /u/ChaosGoliath mentioned, the person making that statement might have confused reality with Game of Thrones. That being said, searching about this myth online does reveal that it has been floating around for a fair while (often attached to the SS or other groups), but it is something that I've never heard of nor found any evidence for.

It should be noted that the SS were not "elite" units - indeed, many SS divisions were basically paramilitaries drawn from non-German nationalities to use for duties such as policing and anti-partisan activities. Some SS divisions had a formidable reputation, but it isn't like the SS was some sort of cream-of-the-crop Wehrmacht.

It sounds suspiciously like a mangling of the Special Forces dog lab. Briefly, during the Vietnam War the US Army Special Forces ran a special medical training course at Fort Bragg for SF medics bound for Vietnam. The participants were each assigned a stray dog from the local pound. They then were made to shoot the dogs in the shoulder, producing serious but non fatal wounds. The soldiers then stabilized, treated, and monitored the dogs with all the care they would give to a wounded soldier. After the dogs recovered, they were returned to the pound to be euthanized, and the soldiers were sent on to their next duty stations. As wantonly cruel as it sounds, there was purpose behind it: to get elite soldiers who would soon be performing highly dangerous missions, often in Laos or Cambodia, accustomed to treating the kind of traumatic injuries likely to incur in combat.

You might find this helpful: this recent question also explore this topic of puppy killing as means of training within the SS.

[What was the training like for the Schutzstaffel or SS in Nazi Germany?] (http://www.reddit.com/r/AskHistorians/comments/2qvtiu/what_was_the_training_like_for_the_schutzstaffel/)

Not all SS troops were 'elite'; I'd venture to say that few in fact were; they certainly late war got an edge on equipment and had above-strength formations (at least on paper), but most of those that were 'elite' became so through bitter experience, not greater training.

I go into great detail about the SS here and point out some of there....less well performing formations, shall we say?

So to answer your question: Completely false.

I doubt it. Hitler was an animal-lover oddly enough.

I'm just curious, was it your teacher that told you this? I'm hoping it was a fellow student.