According to a Czech retailer, Doom will be released on the Switch on December 13, 2017. So far publisher Bethesda has only given us a vague “Winter 2017” release date, and December 13 fits right in the middle.
Doom was announced for the Switch at the latest Nintendo Direct, alongside Wolfenstein 2, which will be released next year.
Both Doom and Wolfenstein will be built with a custom engine for the Switch. You can check out the first comparison video of Doom on the Switch vs other platforms here.