Cole was starting for the NL East leaders in Miami on Monday night.
The Nationals also recalled catcher Pedro Severino from Syracuse, his fifth recall of the season. He's 3 for 11 in nine appearances with the Nationals this season.
Cole filled in for right-hander Stephen Strasburg, whose scheduled start against the Marlins was pushed back one night to Tuesday. The Nationals needed to place someone on the DL to recall Cole, since he was sent to Syracuse less than 10 days ago.