For a satellite dish?
Normal domestic TV and radio aerials do not need planning permission. However you may need to apply for planning permission to install a satellite dish or antenna on your house. You can run through a checklist to assist in establishing whether you need permission by filling out a self-assessment form.
You can find out if your property is located in a conservation area or a listed building by using these links
Further guidance can be found here:
Do I need planning permission?