The ability triggers and is put onto the stack, but since you cannot choose a legal target for it, the ability is then removed from the stack and the game moves on.
This isn't quite “fizzling” in the normal sense, since “fizzling” is generally used to mean being countered on resolution for having no legal targets, which isn't what's happening here, but it's the same general idea.
Edited Callum Milne (Dec. 29, 2014 12:49:48 PM)