According to a report from fightfull.com Rousey has done some basic pro wrestling training and is interested in stepping into the squared circle:
The budding relationship between WWE and Rousey is one of the worst kept secrets in professional wrestling.

WWE has had no issues with publicizing anything Rousey has done in relation to the pro wrestling juggernaut.www.com did a write-up on Rousey’s appearance at the Mae Young Classic tapings this summer while the site also recently featured a poll asking fans which female superstar they’d like to see Rousey face in WWE.
After Rousey’s appearance alongside The Rock at WrestleMania 31 in 2015, wwe.com even pondered whether or not Stephanie McMahon would be willing to sign Rousey, something McMahon told tmz last November that she certainly wants to do, even indicating that she’d like to see Rousey headline a WrestleMania once her UFC career was over.
And all indications are that Rousey is done in MMA.

After losing her last two fights inside the octagon, Rousey has isolated herself from the fighting world, and UFC president Dana White told espn last month that he doesn’t expect Rousey to fight again:
The next chapter of Rousey’s life could very well be a career in pro wrestling as Rousey is known to be a massive WWE fan, even saying in 2015 that The Divas division is dead and gone, but women’s wrestling is thriving in WWE, and with Rousey apparently beginning training, even if only on a very basic level, she’s one step closer to fulfilling her dream of wrestling in a WWE ring.
Rousey’s MMA retirement is pending, and she’s in the infant stages of pro wrestling training, which means that Ross put it best when he told TMZ the following about Rousey potentially joining WWE: “It’s inevitable. 👇