I would start with hot soapy water, to remove salt crust if the boat is in salt water. Then after drying up the remnants of that, I would soak it in your favorite flavor of penetrating oil for several hours or a day. Then I would move it back & forth gently & perhaps tap it gently with a SMALL hammer. Sometimes, a gentle impact will break things loose, when constant pressure will not. Once it moves, I would either lubricate it with grease or replace it.
If the valve has a 2-piece body, you may want to temporarily loosen up the body joint a thread or two, to relieve pressure on the seat. That should get it to move if nothing else will.
It's a good idea to open & close your sea cocks on a regular basis, to prevent them from getting stiff. Once barnacles or other critters grow in there, it can be a real nightmare.