The show follows Ryan (Elijah Wood), a troubled young man who perceives his girlfriend's pet Wilfred (Gann) as a man in a dog suit.
"It's a dark comedy that I call 'traumedy'," said Gann. "There's the human trauma, and then the trauma that Wilfred goes through."
He continued: "We really hit some dark human emotions. It's surreal."
Gann added that making the bad-tempered Wilfred likeable is "a real fine balance".
"It's in the writing and it's in the playing," he suggested. "More thought goes into it than people think. It's a real fine line between having a character that's sabotaging someone's life and still have you root for that character, at the same time."
Wilfred star Elijah Wood previously claimed that the show's content is "unique and difficult to describe".
Wilfred continues on Thursdays at 10pm on FX in the US. The series will air on BBC Three in the UK later this year.
Watch a trailer for Wilfred below: