Price interviewed with Miami on Friday. He will remain on the Reds' coaching staff with manager Dusty Baker.
Price was not available for comment.
It was the second time that the 50-year-old Price has interviewed for a Marlins managerial opening. He has been the Reds pitching coach since 2009 and has previously been a coach with the D-backs and Mariners.
Former Marlins catcher Mike Redmond and ex-Major League manager Larry Bowa have also interviewed for the position.