Gift wrapping blankets and scarves is challenging but not impossible. According to Touchy Gift, the easiest method for wrapping these items is placing them in boxes. Whether you opt for an old Amazon delivery box or a Christmas-specific clothing gift box, these boxes are much easier to wrap than attempting to wrap the blankets or scarves in their loose states.
When asked about this on Quora, some users responded that blankets and scarves are easier to wrap if they're folded into tight squares. This formation doesn't require any special movements. Rather, you just fold the blanket or scarf into a neat square as you'd normally store one, and then tuck them in over themselves to "seal" them in a way. They're also easier if put into a "snake" formation and then curled inward, making a spiraled, circular item that's tight and will wrap easily. If not putting the item in a box, forming a tight seal in any shape is bound to help.
Of course, you can also opt for a gift bag if you don't want to mess with the hassle. For a cute mantle display, scarves, since they're small enough, could be tucked adequately into a stocking for a sweet presentation. Krostrade even recommends alternative wrapping options such as folding the blanket and sliding it into a pillow case or using old newspapers as wrapping paper. There are ultimately a thousand crafty ways to present a scarf or blanket, and they'll all undoubtedly feel special to their recipients.
Happy wrapping!