Giavotella posted a .238/.277/.334 slash line while appearing in 125 games with the Royals from 2011-14. The 27-year-old right-handed hitter was designated for assignment on Thursday so that the Royals could make room on the 40-man roster for starter Kris Medlen.
Giavotella, a second-round pick by the Royals in the 2008 First-Year Player Draft, played in only 12 Major League games in 2014 and batted .308/.373/.440 in 114 Triple-A games. With the Angels, he'll compete with Josh Rutledge, Grant Green and Rule 5 Draft pick Taylor Featherston for the starting job at second base, which belonged to Howie Kendrick until he was traded to the Dodgers last week.
Broderick, 28, spent the 2014 season in independent ball, posting a 2.31 ERA, a 0.96 WHIP and a 7.22 strikeout-to-walk ratio in 60 appearances for the Sugar Land Skeeters.
Despite adding Giavotella to a growing list of middle infielders, Angels general manager Jerry Dipoto is still very much interested in re-signing infielder Gordon Beckham, who was non-tendered in early December and would end up getting most of the playing time at second base. The Angels are also close to finalizing their deal with 22-year-old Cuban middle infielder Roberto Baldoquin, who passed his physical in Southern California this week.
Giavotella is out of options, but Dipoto likes him as an additional second-base option.
"He's been a dynamic performer in the Minor Leagues," Dipoto said. "Now, between Giavotella and Josh Rutledge and Grant Green and Taylor Featherston, there's four guys who have been really good Minor League players, who all play in the middle of the field, who all have a skill set that's a little different than the ones around them."
Alden Gonzalez is a reporter for MLB.com. Read his blog, Gonzo and "The Show", and follow him on Twitter @Alden_Gonzalez. This story was not subject to the approval of Major League Baseball or its clubs.