Star Wars Resistance is a animated series set between episodes 6 and 7, so between 5 ABY and 30 ABY, but can there be a more exact time and date? In what year(s) do the events of Star Wars Resistance take place?
It's not much to go on, but at one point, there was apparently a blurb buried in the page source on starwars.com identifying it as "about six months before The Force Awakens":
Set about six months before The Force Awakens, Star Wars Resistance tells the story of Kazuda Xiono, a young pilot recruited by the Resistance and tasked with a top-secret mission to spy on the growing threat of the First Order.
Since this didn't appear visibly on the official site, this should be taken with a grain of salt, but it seems likely that it's at least officially approved (but not technically released) descriptive text.