The Blue Jays designated Gomez for assignment on Tuesday.
Gomez, a right-handed hitter listed at 6-foot-2 and 230 pounds, has hit 150 homers in his past seven Minor League seasons, an average of 21.4 per year. His 29 round-trippers this year tied Nats shortstop Zach Walters, rated as the team's 12th-best prospect, for the Triple-A lead.
Gomez made his Major League debut with the Red Sox in 2012, hitting .275 with two homers and 17 RBIs in 37 games. He is a career .278/.333/.488 hitter over 10 Minor League seasons.
Adam Berry is a reporter for MLB.com. Follow him on Twitter at @adamdberry. This story was not subject to the approval of Major League Baseball or its clubs.