Rivera announced his retirement from baseball Friday.
Rivera was placed on the 10-day injured list Tuesday with a right elbow contusion, Dan Kolko of MASN Sports reports.
Rivera is out of the lineup for Sunday's game against the Padres.
Rivera agreed to a major-league deal with the Nationals on Friday, Jesse Dougherty of The Washington Post reports.
Cleveland designated Rivera for assignment Saturday, Mandy Bell of MLB.com reports.
Rivera went 1-for-3 with a solo home run and a walk in Sunday's game 8-2 loss to the Twins.
Rivera is out of the lineup for Thursday's game against the Twins.
Rivera is out of the lineup Sunday against the Pirates.
Rivera went 3-for-4 with a run scored and three RBI in Friday's 11-10 loss to the Pirates.
Rivera isn't starting Thursday against Baltimore.