The first season of Telltale Games' Batman series will be available on Nintendo Switch next week, with a release scheduled for November 17. You can either get it digitally from the Switch's eShop or in a retail store. Right now the second season is underway, so that'll presumably reach Switch in the coming months.
Other consoles and PC already have access to the Batman series. It premiered over a year ago in August 2016. Both seasons have received generally positive reviews.
Recently Telltale announced it was cutting 25% of its employees and narrowing its focus, though it says current projects (like the Batman series) won't be affected.