In a robust market for big-name pitching coaches the Mets will have plenty of sexy options, but also could promote from within. Mickey Callaway, named Mets manager this week, has provided few if any hints about what he and the organization will seek in a pitching coach. But Callaway, who spent the last five seasons handling the Indians’ pitchers under Terry Francona, made it clear his job will be managing the team, leaving the daily pitching coordination to someone else. Dan Warthen, the Mets pitching coach since June 2008, was told this month he wouldn’t be retained, after a season in which a pitching staff crippled by injuries and underperformance posted a 5.01 ERA that ranked next-to-last in the National League. A club source indicated Tuesday that interviews to fill the pitching-coach position are likely to begin this week, as the Mets also keep an eye toward hitting coach and bench coach, but may not have a resolution on those jobs until Kevin Long’s status becomes clear. The hitting coach Long, who was a finalist for the managerial position, has a contract set to expire Oct. 31 and this week received permission to speak with the Nationals as they seek Dusty Baker’s replacement at manager.