Flaherty is the nephew of coach Jason Garrett and tight ends coach John Garrett. He worked out for the Cowboys last December. He went to camp last year with New Orleans and can also long snap.
League rules prohibit Flaherty from practicing in pads until Friday, but the Cowboys will just have a walkthrough that day. That means his first time in pads would be Saturday’s game at San Diego.
Nagy, a seventh-round pick last year, suffered a high left ankle sprain in the first padded practice of training camp and is scheduled to visit foot and ankle specialist in Charlotte, N.C., this week. If he clears waivers, he would revert to injured reserve. Nagy started four games as a rookie before a fractured left ankle ended his season. The Cowboys had hoped he could compete for the starting center spot with Phil Costa.