Flash will never work in all browsers because not everyone installs Flash in their browser plus some of those who do have it set to not run except when they tell it to so that it will only run on the few pages that they have decided to specifically allow it to run on.
Just specify all the required parameters in param tags.
width="1000" height="800" type="application/x-shockwave-flash">
<param name="src" value="ChainGalleryFX.swf">
<param name="quality" value="high">
<param name="bgcolor" value="#FFFFFF">
<param name="wmode" value="transparent">
<param name="pluginurl" value="http://www.macromedia.com/go/getflashplayer">
content for browsers that don't support flash go here