The Mariners are 51-44, and in pole position for the second AL wild card spot. Last offseason saw Seattle spend big on second baseman Robinson Cano, who signed a 10-year, $240 million contract with the team, and closer Fernando Rodney, who signed for two years and $14 million.
Trade rumors have swirled around Price since long-term extension talks stalled between the left-hander and the Rays last offseason. Price is eligible to become a free agent in November 2015.
Price made his fourth career All-Star game this year, after going 9-7 with a 3.23 ERA and 10.0 K/9 rate in the first half. Zobrist, a two-time All-Star, is batting .266/.352/.401 with six home runs this season.
The MLB non-waiver trade deadline is July 31.
- Alex Hampl