Flash is a client side feature - it runs on the website user's computer, not on your webhosting server. As long as the user's browser has the correct flash plugin installed, it will run on their computer.
You'll just need to make sure the flash file is added on your website correctly. If you're not sure how to add a flash on your website you may contact your website developer for assistance. And if there is an editor in the backend of your website, you may try to edit your webpage and insert your flash file there as many editors have the option available to insert media files.
