Erin Andrews and Jarret Stoll -- Date Night Out ... With Every Paparazzi Who Ever Lived

Erin Andrews and Jarret Stoll want the ENTIRE WORLD to know things are copacetic between them now ... 'cause they stepped out in L.A. last night ... at the city's most photographed restaurant.

TMZ Sports has video of Erin and Jarrett out last night at Craig's ... a West Hollywood hotspot that is CRAWLING with paps on a nightly basis because of it's A-list celebrity clientele.

Bottom Line -- you don't go to Craig's unless you want to be seen.

The couple was mum going in and coming out of the joint ... but this is the most public they've been since Jarret's arrest on drug charges earlier this year ... so you gotta think they were making a statement.