Most TV models allow you to receive Skype calls while watching TV. If you are watching TV and someone calls you on Skype, an alert pops up. You can accept or decline the call using your remote. On some devices, if you decide to answer the call, you won’t be able to continue watching the program, but you can resume watching as soon as your call has finished.
When you turn your TV off, your Skype status will automatically change to “Offline”, so you won’t be able to receive any calls. If you have Skype’s call forwarding or Voice Messaging features enabled, then any incoming calls will be forwarded either to your phone or the voicemail that you set up on your computer.
Find out more about call forwarding.
For further support, contact your TV manufacturer.