On December 9, 2012, the Royals traded Odorizzi to the Tampa Bay Rays (along with Mike Montgomery, Patrick Leonard, and Wil Myers) in exchange for James Shields and Wade Davis.
He was optioned to the Triple-A Durham Bulls on March 12.
In early May, he threw a combined no-hitter for the Bulls against the Pawtucket Red Sox.
He was recalled by the Rays on May 20 to start in Toronto against the Blue Jays.
He was sent back to the Bulls on May 29.
He was recalled on August 29 for a start against the Los Angeles Angels of Anaheim, and optioned back to Durham the next day.
He was recalled on September 20.

Odorizzi spent majority of the 2013 season in the minor leagues posting a 9–6 with a 3.33 ERA in 22 Starts with the Durham Bulls.
He got a late call up at the end of 2013, playing in 7 games (4 starts) and had a 3.94 ERA.
In 2014, Odorizzi was the fourth pitcher in the rotation for the majority of the season.
He plated moderately well, posting an 11–13 won-lost record, and a 4.13 ERA in 33 starts, pitching 168 innings with 174 strikeouts.
He came in 8th for AL Rookie of the Year.

In the 2015 season, Odorizzi posted a record of 9–9 with an ERA of 3.25 and FIP of 3.16 in 169.1 innings, despite only making 28 starts.
He led all major league pitchers in changeup percentage (30.0%).

In the 2016 season, Odorizzi went 10–6 with an ERA of 3.69 in 33 games over 187.2 innings.
His 17 no decisions were the most among MLB starting pitchers in 2016.

As of July 26, 2017, 18.3% of all fly balls hit against Odorizzi went for a home run, up 7.2% from his career average (11.1%).
As of July 26, his ERA had ballooned to 4.47, an FIP of 5.74, and had allowed 23 home runs in 18 games, even with these stats, Odorizzi had a winning record of 6–4.
On July 26, the Rays put Odorizzi on the ten-day DL with lower back strain.
On August 9, Odorizzi was activated from the DL.
After posting a strong September (3–1 with a 1.03 ERA in 26.1 innings), Odorizzi ended the season 10–8 with a 4.14 ERA in 143.1 innings pitched.
On December 9, 2012, the Royals traded Odorizzi to the Tampa Bay Rays (along with Mike Montgomery, Patrick Leonard, and Wil Myers) in exchange for James Shields and Wade Davis. He was optioned to the Triple-A Durham Bulls on March 12. In early May, he threw a combined no-hitter for the Bulls against the Pawtucket Red Sox. He was recalled by the Rays on May 20 to start in Toronto against the Blue Jays. He was sent back to the Bulls on May 29. He was recalled on August 29 for a start against the Los Angeles Angels of Anaheim, and optioned back to Durham the next day. He was recalled on September 20.
Odorizzi spent majority of the 2013 season in the minor leagues posting a 9–6 with a 3.33 ERA in 22 Starts with the Durham Bulls. He got a late call up at the end of 2013, playing in 7 games (4 starts) and had a 3.94 ERA. In 2014, Odorizzi was the fourth pitcher in the rotation for the majority of the season. He plated moderately well, posting an 11–13 won-lost record, and a 4.13 ERA in 33 starts, pitching 168 innings with 174 strikeouts. He came in 8th for AL Rookie of the Year.
In the 2015 season, Odorizzi posted a record of 9–9 with an ERA of 3.25 and FIP of 3.16 in 169.1 innings, despite only making 28 starts. He led all major league pitchers in changeup percentage (30.0%).
In the 2016 season, Odorizzi went 10–6 with an ERA of 3.69 in 33 games over 187.2 innings. His 17 no decisions were the most among MLB starting pitchers in 2016.
As of July 26, 2017, 18.3% of all fly balls hit against Odorizzi went for a home run, up 7.2% from his career average (11.1%). As of July 26, his ERA had ballooned to 4.47, an FIP of 5.74, and had allowed 23 home runs in 18 games, even with these stats, Odorizzi had a winning record of 6–4. On July 26, the Rays put Odorizzi on the ten-day DL with lower back strain. On August 9, Odorizzi was activated from the DL. After posting a strong September (3–1 with a 1.03 ERA in 26.1 innings), Odorizzi ended the season 10–8 with a 4.14 ERA in 143.1 innings pitched.
Jake Odorizzi