The key thing is how long it is and which side the cable mounts to the transmission on. Cables up to 60/64 inches are available for either fit as far as I know. I suspect yours may have the end without the tapered socket that fits into the tail housing. Yours likely needs the straight type like in this link.
https://www.ebay.com/itm/For-1957-19....c100005.m1851
Just be aware that there are likey a clockwise and counter clockwise application.