He had a sense that he would land with them, and it was a good feeling. Leaving behind the Tampa Bay Rays teammates he had become close friends with wasn't fun, but leaving an organization cutting salary for one coming off a postseason appearance was a welcomed trade.
"I'm glad to have that closure now, where I don't have to worry about it each day waking up like, 'Is this could be the day I have a new team?'" Odorizzi said.
That moment came Saturday night, when the Rays sent the 27-year-old right-hander to the Twins for minor league shortstop Jermaine Palacios.
"It's kind of a foregone thing when you're there, to a certain point. Everyone ends up leaving, whether it's time or dollars," Odorizzi said Monday afternoon after putting on his Twins uniform for the first time. "I'm out, so I'm happy to go to be here to be on a contending team."
The Rays, who let several key contributors from last season become free agents before dealing cornerstone Evan Longoria in December, also designated All-Star Corey Dickerson for assignment Saturday while acquiring first baseman C.J. Cron in a separate trade.
The Twins, meanwhile, have added about $21 million to the 2018 payroll, with Odorizzi enhancing the rotation and free agents Fernando Rodney, Addison Reed and Zach Duke boosting the bullpen. They're also paying Michael Pineda $2 million while he rehabilitates from Tommy John surgery for the chance to add him to the rotation in 2019, and they have an agreement in place with reclamation project Anibal Sanchez for another $2.5 million this year, pending a passed physical exam.
"You don't want a cloud hanging over spring training," Odorizzi said. "Optimism is what you want -- not a dark cloud."
Odorizzi, who came to the Rays before the 2013 season from Kansas City with Mike Montgomery and Wil Myers in the seven-player trade that sent James Shields and Wade Davis to the Royals, logged four solid years as a starter for the Rays. He regressed last season, though, while struggling with some back trouble, and he posted a 4.14 ERA in 28 starts. He at least finished strong, with a 3-1 record and a 1.03 ERA in five September starts.
Neither he nor the Twins expressed any concern about his health.
"This guy has upside," chief baseball officer Derek Falvey said. "I think he's kind of one of those guys who's sneaky, ends up in the top of your rotation, and it might not be the big velocity or otherwise, but the way he pitches and the way he manages contact, guys don't square it up often."
Odorizzi was given the cubicle next to Ervin Santana, whose injury made Odorizzi's acquisition all the more important for a Twins team that used 16 starting pitchers in 2017.
Santana arrived Monday wearing a dark blue cast on his right hand after surgery to remove a calcium deposit that developed around the knuckle on top of his middle finger. He said it bothered him when he tried to throw a slider or a changeup in the American League wild-card game loss in New York, in which he gave up four runs on two homers in just two innings.
"There was a little bit of pain there, but I don't think about it, you know?" Santana said. "I'm trying to win. Now I've got it fixed."
Santana's contract will vest for 2019 with 200 or more innings in 2018, but he's unlikely to reach that threshold now, with a return not expected until mid-to-late April. The Twins could decide to exercise the option for $14 million or buy him out for $1 million and make him a free agent.
"I'm not worried about that. I don't have control," the 35-year-old Santana said. "I just take my time, come back and do my job."
In the meantime, he's happy to have Odorizzi in the rotation.
"We needed that. So hopefully we're not done yet," Santana said.
The only hiccup for the Twins on their first official day as a complete team was a kidney stone that sent All-Star second baseman Brian Dozier to the urologist. Manager Paul Molitor gave the customary big-picture address to the players in the morning.
"I talk a lot to these guys about the mindset of what it takes to compete, what our identity as a club will look like and how I see it being shaped," Molitor said. "It's kind of a broad message, but you try to set a tone as best you can."