First thing is, your TV would need to provide appropriate support for viewing external files. Do you know if it does?
Even if it does, I think it's rarely the case - if at all - that a TV would support a SATA device. Normally provision is only made for USB devices.
If your TV doesn't provide the necessary support, you'd probably need to get a media player to attach to your TV, and attach your hard drive to your media player. Again, though - the majority of those that I'm familiar with only support USB-connected drives.