Players routinely get put on waivers during the month of August. If Saunders is claimed by another team, the D-backs can either work out a trade with that club, allow the claiming team to have him or pull him back off waivers.
Players must go through the waiver process to be traded following the July 31 Trade Deadline.
Recently, the D-backs put shortstop Stephen Drew on waivers and when he was claimed by the A's the two teams worked out a trade.
"Everybody gets put on waivers, it doesn't matter who you are," Saunders said. "I don't pay attention to it. Whatever happens is going to happen, I can't let it bother me."