Yes, if it can be taken apart and reassembled without damaging it. I would disassemble clean and store. Then sanitize and reassemble the valve and sanitize the bucket as a whole before use.
A clean sanitary fermenter and it's parts is critical. This is where your wort is most vulnerable to infection.
Line brushes are useful if the valve doesn't come apart. Rotate the valve shutoff and clean it in opened and closed positions. Like a revolving door areas to harbor infection get sealed off in different positions. Any wort debris left behind can negate sanitation.