The Cloverfield star will appear in the medical drama's eighth season as a prison doctor who later transfers to House's team at Princeton-Plainsboro.
Annable told TV Guide: "[She and House] have a great connection. Much like House, she loves the puzzle, the clues and the discovery of the diagnosis. I think they can really relate to each other."
However, Annable insisted that her character is not intended as a replacement for the absent Cuddy (Lisa Edelstein).
"She's a completely different character," said the actress. "She's not coming in to replace anybody."
House showrunner David Shore recently admitted that the show's new season could be its last, but Annable claimed that the future of the series is still undecided.
"We don't know if it's going to be the final season, but if it is, I'm so happy to be a part of it," she said. "We'll see how it unfolds."
House will return to Fox on October 3.
> House exec: 'Show is going back to basics'
Watch the final scene from the House seventh season finale below: