The acclaimed comedy drama starred Piper as Suzie Pickles, an actress dealing with the fallout of a phone hack and the leak of photos of her in a compromising position.
As well as playing the lead character, Piper also served as executive producer and co-creator, while for her new film Rare Beasts she has also turned her hand to writing and directing.
"Billie's always been hugely creative and brilliant and it was so exciting to see her doing a massive central performance as well as co-creating and producing," Tennant told the Radio Times.
"Someone who I knew to be so extraordinary being allowed to do that on telly, unfettered and uncensored. It was a joy to behold, and now she's got a feature film."
I Hate Suzie is up for three awards at this weekend's BAFTA TV Awards, including Best Actress for Piper and Best Drama Series. body check tags ::