Details of Strickland's injury were not available, but Martinez said after the Nats' 4-1 loss to the Pittsburgh Pirates that Strickland had been cleared to pitch Tuesday and is likely to avoid the injured list.
Strickland, 30, was working out in the weight room at PNC Park when a barbell struck him in the face. He was seen in the clubhouse before Tuesday's game with a bandaged nose and was sent for X-rays, according to reports.
The Nationals didn't release results of the exam, but Strickland posted about the incident on Instagram on Tuesday.
Strickland, who was acquired by the Nationals from the Seattle Mariners on July 31, is 1-0 with a 1.29 ERA in eight appearances for Washington this season.