The Rangers outrighted Rivera (elbow) to Triple-A Nashville on Friday.

Rivera underwent surgery on his elbow, Jeff Wilson of the Fort Worth Star-Telegram reports.

The Rangers outrighted Rivera to their alternate training site Sunday.

Rivera was designated for assignment by the Rangers on Friday.

Rivera started at second base and went 0-for-2 in Tuesday's 10-3 loss to the Athletics.

Rivera went 0-for-3 with a stolen base in Sunday's 4-1 loss to the Mariners.

Rivera was promoted to the Rangers' active roster Thursday.

Rivera was reassigned to the Rangers' alternate training site Sunday, Levi Weaver of The Athletic reports.

Rivera was added to the Rangers' 60-man player pool and is expected to be part of the team's 30-man active roster to start the season, Evan Grant of the Dallas Morning News reports.

Rivera signed with the Rangers as a non-roster invitee Friday.