According to Heyman, though teams have been interested in trading for Byrd, they think the price is too high.
Byrd is batting .270 with 20 home runs and 60 RBIs in 106 games for the Phillies this season.
The outfielder has $8 million left on his contract. He also has an $8 million vesting option for 2016 that will go into effect if he reaches 600 plate appearances in 2015, or 550 plate appearances that year and 1,100 in 2014 and 2015. If Byrd cannot accumulate those plate appearances, the vesting option becomes a team option. Heading into Thursday, Byrd has 446 plate appearances this season.
Byrd will turn 37 on August 30.
MLB's non-waiver trade deadline is Thursday at 4 p.m. ET.
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- Sarah Barshop