Probably not. But permission would have to be sought to use it. (Probably easily obtained if it's a Warner Bros. show.)
The film "Hollywoodland", about the death of Superman actor George Reeves had no end of trouble with Warner Bros. over the use of the Superman logo and other related items.
Studios are supposed to cover their legal asses on these things. When they don't, they can get sued. This happened over the film "The Devil's Advocate".
http://www.imdb.com/title/tt0118971/alternateversions
The artwork I referred to was specifically commissioned for a website about dragons. It was used without permission. The artist and the people who paid for the art retain reproduction rights.