According to the official Mass Effect Website, Andromeda will be released in North America on Tuesday March 21st and Thursday March 23rd in Europe.

In the News Post, Aaron Flynn stated:

On behalf of our teams across Montreal, Edmonton and Austin, I’m excited to announce that Mass EffectTM: Andromeda will be launching in North America on Tuesday, March 21, 2017 and beginning Thursday, March 23, 2017 in Europe. We appreciate your patience (and in fact, even your lack of patience in some instances) as we’ve been focused on completing the game. Here’s a little bit of context into how we’ve gotten here.

Even more interesting is members of the development team took a “holiday build” home and brought back their own opinions on the game:

Over this holiday break, developers at BioWare took home a version of the game in what we call the “holiday build”.  This is a longstanding studio tradition that goes back to the early days of the original Mass Effect. Many load up a PC or console and go home to play as much as possible at their leisure. Coming back from holiday, the feedback has been great. Getting the endorsement from members of our studio, many of whom played key roles on the original trilogy, was definitely a key factor in helping us lock in on the date.

Mass Effect: Andromeda will seemingly  put an end to the ME saga with this installment for the franchise.