The 29-year-old has not requested a trade, but Nolasco's agent, Matt Sosnick, told the media that his client would "be a completely happier player" if he were dealt.
Commissioner Bud Selig might step in if the Marlins attempt to deal Nolasco, who is owed $11.5 million in 2013 and is now the club's highest-paid player.
The northpaw has been a fairly durable starter, as he has pitched more than 190 innings in each of the past two seasons. However, he gives up more than a hit per inning (10.1 H/9 in 2012), and has seen a steady plummet in his strikeout rate since 2009 (from 9.5 K/9 in 2009 to 5.9 in 2012). This drop in K's could coincide with a 2-mph loss on Nolasco's four-seam fastball.
The Marlins, for their part, have not commented on potential deals involving Nolasco.
UPDATE 9:45am: The Marlins are reportedly telling teams that Nolasco is unavailable, despite the right-hander's wishes to skip town, per ESPN.