I have washed precuts with no problem. I put them in the sink with a tiny bit of detergent, swish them around, rinse well and roll them up in a towel to remove excess water. Then lay out to dry.
But for this fabric I would try putting it in a plastic garbage bag, set it on a flat surface and place an open box of baking soda inside, then close it up. Check it the next day. If the smell is not all gone, leave for another day or so. If that doesn't work, then I would do the hand washing.