The Mariners also are believed to be interested in Padres special assistant Brad Ausmus, who has been mentioned prominently as a contender for the Tigers' position following Jim Leyland's resignation. Ausmus, 44, finished an 18-year Major League career as a catcher in 2010 and has since worked in the Padres' front office.
Ausmus, a three-time Gold Glove Award winner, has not managed or coached in the Majors or Minors, but he did manage Israel in the 2013 World Baseball Classic and as a player was well regarded for his leadership and baseball knowledge.
Renteria has a longer track record in coaching, as he just finished his sixth season on the Padres' Major League staff, including the past three as bench coach. He also managed Mexico in the 2013 World Baseball Classic.
Renteria has worked in the Padres' organization since 2003 and spent four seasons managing the club's Class A team at Lake Elsinore and another year leading Triple-A Portland before moving up to San Diego in 2007 as first-base coach.
Renteria also managed four seasons in the Marlins' organization at the Class A and Double-A levels and was the Midwest League Manager of the Year in 1999.
Renteria played parts of five seasons in the Majors as a utility infielder between 1986-94, including 43 games with the Mariners in 1987-88.
Zduriencik has interviewed several candidates this week, including A's bench coach Chip Hale, as the Mariners go about the process of replacing Eric Wedge, who resigned at the end of a disappointing 71-91 season.
The Mariners, Cubs, Tigers and Nationals are all in pursuit of managers and will likely wait until after the World Series to make any decisions. The Reds promoted pitching coach Bryan Price to fill their vacancy prior to the start of the World Series.
Greg Johns is a reporter for MLB.com. Follow him on Twitter @GregJohnsMLB as well as his Mariners Musings blog. This story was not subject to the approval of Major League Baseball or its clubs.