Price made $10 million last season. He has been the subject of trade rumors throughout the offseason.
Price, 28, went 10-8 with a 3.33 ERA and 151 strikeouts last season for the Rays, a season after winning the American League Cy Young award.
LEMIRE: Top 10 predictions for the 2014 baseball season Price was one of 146 MLB players who filed for arbitration earlier this week. Arbitration hearings are scheduled to start next month in St. Petersburg, Fla.