Wilfred stars Wood as Ryan, a depressed man who begins to see his neighbour's pet Wilfred as a man in a dog costume.
Wilfred (Jason Gann) begins to offer Ryan advice but Wood explained that he may not have good intentions.
"There are motives, seemingly dark motives, underneath Wilfred's directions occasionally," Wood told Entertainment Weekly. "And then something will take a twist and pan out in a very different way than we expect or Ryan expects.
"Or perhaps he'll take that path knowing that it's not the right thing and then something positive will come out of it, which is always keeping it in question with whether or not the motives are genuinely pure or for Wilfred's own interests. And I love that. There's a real ambiguity."
Gann added that Wilfred might have "some sort of deep motivation" but could just be "screwing with" Ryan.
"That's part of one of the mysteries of Wilfred," he said. "We hope people discuss this and argue about what Wilfred is and what's supposed to be happening... Hopefully we raise questions to the audience - is Wilfred a figment of the imagination?"
Wood also described the show as "incredibly strange and surreal and very, very funny", adding: "I don't think I've ever been so curious to see what people think."
Wilfred will premiere on June 23 at 10pm on FX. The show will air on BBC Three in the UK.
> Elijah Wood: 'Wilfred is bizarre'
Watch a trailer for Wilfred below: