Is this coat warm enough for real winter?

It uses down and feather fill, which traps heat well for everyday cold. It is aimed at city winters and casual wear, not mountaineering or long exposure.

How does it compare with a North Face or Patagonia down coat?

Those brands publish fill power and use technical shell fabrics, which makes them easier to judge for serious cold. The Puma coat is a lifestyle puffer with a sportier look and fewer stated technical specs.

What sizes does it come in?

It is offered from XS through XXL. Puma outerwear tends to run close to standard sizing, so check the size chart if you plan to layer a thick hoodie underneath.

The listed design is a solid black down coat with long sleeves and pockets. A hood is not confirmed, so check the product photos before buying if a hood matters to you.

No waterproof rating is given. Down fill loses loft when soaked, so treat it as a dry-cold coat and avoid heavy rain.

Can I wear it for running or training?

It is not classed as sportswear, so it is better for warmth before and after activity than for working out in. Use a lighter technical layer for exercise.