"I don't have any tolerance toward domestic violence," the Cowboys great said in an interview with KTCK-AM 1310 on Friday. "If I was making the decision, it probably wouldn't have been good for the Cowboys."
Hardy, who signed with the Cowboys this offseason, missed all but one game in 2014 because of a domestic violence issue and has subsequently been suspended 10 games this season by the league for violating the NFL's personal conduct policy. He remains on the commissioner's exempt list and his appeal will be heard by the league May 28.
Staubach said he would have had a tough time being a teammate of someone he knew had abused a woman.
"I wouldn't really enjoy being in the locker room with someone I knew was a domestic violence person," he said.
Staubach acknowledged that in today's NFL "you know more about the personal lives of players" so although he's unaware if he played with anyone who had been guilty of domestic violence, "I'm sure it happened though, we just didn't know about it."
"I would have really had a hard time with a teammate that you look at as a courageous, tough guy on the football field ... to abuse a women in any shape or form, there's just no excuse for it," he said.
Hardy was initially found guilty of a domestic violence charge by a North Carolina judge, but the charges were dismissed when the accuser did not make herself available for a jury trial. Hardy has since asked for his record to be expunged and has relinquished all of the weapons from the case to the Mecklenburg County Sheriff's office.