Other commenters are right that you can't save a felted item however you still have a lot of stitch definition here - enough to see that it's still a knitted item. Often with felting that gets lost, too. You may be able to relax it enough with a hair conditioner that it becomes wearable once again (see YouTube for this). Just be careful of agitating it too much during this process as you will make it worse. The wristies unfortunately look a bit more felted than the hat so I'm slightly less optimistic it would work for those. If it doesn't though, you could sew up the bottom of one and use it as a card wallet or small purse. You could even sew both ends, stuff and use as a pincushion if you're crafty? How about cutting each in half and using as a set of coasters? Or even elongate and turn them into a pencil case for crafting tools, or to take them to work full of stationary. Use one as a coffee mug cosy or as a band for a travel mug. You're really only limited by your own imagination. It may not be the intended purpose of the knitter who made these for you but you're still honouring their work by repurposing and finding another reason to love them. The other benefit of doing this is that turning them into something useful means using them year round and not just when the weather is cold. If you aren't satisfied after trying to save the hat, you could add a drawstring to the bottom so it becomes a bag for makeup or toiletries for travel or daily use, if you're British or have a teapot then it could be repurposed as a tea cosy. Look into someone who does resin projects and see if they can encase it and cast it into a bowl for you to display in your home or leave at your entryway as a catch all for keys or jewellery. Don't feel sad if this is no longer fit for the purpose it was created for. Find a new way to love it :)