Grosenick, 31, joins his fourth NHL organization (following the Predators and Sharks) since beginning his pro career in 2013. He did not appear in any games for the Kings, and spent last season with the AHL's Milwaukee Admirals, where he posted a 2.29 goals-against average and .920 save percentage in 33 games.
In seven pro seasons, Grosenick has played in 254 AHL games, accruing a 2.52 GAA and .912 save percentage. In just two career NHL games, he has a 1.53 GAA, .958 save percentage and one shutout.
Grosenick's move to Edmonton comes one day after the Oilers placed goaltender Mike Smith on long-term injured reserve.
Smith will miss at least 24 days or 10 games after being placed on LTIR. He was absent at practice Friday and did not play in the second half of the team's back-to-back against the Vancouver Canucks.