That is possible your domain must be whitelisted via Facebook it takes about 48 hours .Additional you must add OG: metatags to your header pointing where your flash player and content is . There must be a Thumbnail represented fot the first click before the flashplayer allow to play on the wall inside Facebook . The plus your content will link to your page instead to Youtube , vim or any other side. Jw-Player is one i prefer it must be a Licensed one to work. Same Player work with Soundfiles Playlist m3u and many other formats. Not Animated Gifs.