Wren said the wrist issue was unrelated to his shoulder.
"We're not sure yet," Wren said when asked when McCann might catch in a game as part of his rehabilitation.
Meanwhile, Wren said first baseman Freddie Freeman, who is on the disabled list with a strained right oblique, was going to be examined by a doctor Tuesday. He was put on the DL on April 7.
Freeman was perturbed when the Braves placed him on the DL without talking with him first, but he seemed to be over that issue on Tuesday.
"I understand their reasoning," he said. The club said sometimes players need to be protected from themselves.
Freeman took light batting practice in the indoor cage, which was a coach flipping balls underhanded to him as he hit into the big net.
Ray Glier is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.