The Boston Red Sox made Nathan Eovaldi a one-year qualifying offer that would guarantee him a $19.5-million salary in 2023, when he’d have the highest salary of his career, despite coming off an injury-plagued season in which he finished with just 20 starts while struggling to get his velocity over 96 mph.

The 32-year-old right-hander is set to reach free agency for the first time since 2018, when he helped lead the Red Sox to a World Series title and then re-signed in Boston on a four-year deal worth $17 million per season.

If teams decide he’s healthy and worth a risk, Eovaldi could command a three- or four-year deal worth more than $20 million per season. But if they’re scared off by his injury-plagued season, there’s a chance Eovaldi could accept the qualifying offer and return to Boston on a one-year deal.

The Sox also made a qualifying offer to Xander Bogaerts on Thursday, but Bogaerts will certainly decline it after he just opted out of a more lucrative three-year, $60-million pact in order to test free agency, where he’ll likely get close to, or over, $200 million.

Notably, neither Michael Wacha nor J.D. Martinez received qualifying offers. There appeared to be a chance Wacha would get one, given his excellent season, but he’s also been riddled by injuries and is more likely to receive a short-term deal in the $10-million salary range.

• Bogaerts won his fifth AL Silver Slugger award at shortstop Thursday. The 30-year-old right-handed hitter batted .307 with a .377 on-base percentage, .456 slugging percentage, .833 OPS, 15 homers, 38 doubles, 84 runs and 73 RBI in 150 games (631 plate appearances).

He led all AL shortstops in batting average and on-base percentage. He also tied with Carlos Correa for the top OPS among AL shortstops.

QUALIFYING OFFERS: Bogaerts was joined by Aaron Judge and Jacob deGrom as free agents who were given $19.65 million qualifying offers by their former teams on Thursday

Dansby Swanson, Trea Turner, Willson Contreras and Carlos Rodón also were given the offers, as were Chris Bassitt, Brandon Nimmo, Nathan Eovaldi, Anthony Rizzo, Joc Pederson, Martín Pérez and Tyler Anderson.

Players have until Nov. 20 to accept

ASTROS: Justin Verlander declined a $25 million option with the Houston Astros to become a free agent on Thursday, five days after helping the team with its second World Series title.

The 39-year-old right-hander likely headed to his third Cy Young Award got his first World Series win in nine starts in Game 5 against Philadelphia. The day before that happened, he said it was too early to think about his future.

“Really and truly it’s been a hell of a ride no matter what happens, whether I stay or don’t,” he said. “I’ve really enjoyed my time with this group of guys and the city and getting to know the city.”

Verlander played for Detroit from 2005 until he was traded to the Astros in August 2017. He agreed to a $66 million contract covering 2020 and 2021, then hurt his elbow and needed Tommy John surgery.

BLUE JAYS: The Blue Jays exercised a $3 million option on reliever Anthony Bass rather than pay a $1 million buyout.

The 35-year-old right-hander signed a deal last winter with Miami that included a $1 million salary for 2022 plus the option. Bass went 4-3 with a 1.54 ERA in 73 appearances for the Marlins and Blue Jays, who acquired him on Aug. 2.

Bass, who also played for Toronto in 2020, was 2-0 with a 1.75 ERA in 28 appearances after returning to the Blue Jays.

BREWERS: Milwaukee declined the $3 million 2023 team option on right-handed reliever Brad Boxberger and have claimed right-hander Tyson Miller off waivers from the Texas Rangers.

By declining the team option on Boxberger, the Brewers now must pay him a $750,000 buyout instead.

METS: New York exercised a $14 million option on right-hander Carlos Carrasco and a $775,000 option on reliever John Curtiss, who is coming back from Tommy John surgery.

Carrasco, 35, was 15-7 with a 3.97 ERA in his second season with the Mets, who acquired him from Cleveland in the Francisco Lindor trade in January 2021. By exercising the option, the Mets made the contract worth $48.25 million for four seasons. Carrasco can become a free agent after next year’s World Series.

Curtiss had Tommy John surgery on Sept. 7 last year, was let go by Milwaukee and signed with the Mets in April.

RAYS: Tampa Bay declined a $13 million club option on centerfielder Kevin Kiermaier for next season, triggering a $2.5 million buyout and making the defensive whiz a free agent on Thursday.

Kiermaier, 32, spent parts of 10 seasons with the Rays, who drafted him in the 31st round in 2010. He’s a three-time Gold Glove winner who batted .248 with 82 homers, 316 RBI and 112 stolen bases over 914 games.

DODGERS: Los Angeles declined their $16 million option on two-time All-Star Justin Turner while it extended qualifying offers to two All-Stars, shortstop Trea Turner and left-handed pitcher Tyler Anderson.

Also not receiving a qualifying offer for the second straight year was Clayton Kershaw. As a result, the left-hander will have additional time to consider his future rather than make a decision at the beginning of free agency. The Dodgers did the same thing last year, and Kershaw signed a one-year deal.

Justin Turner will receive a $2 million buyout.

BREWERS: Milwaukee declined the $3 million 2023 team option on right-handed reliever Brad Boxberger.

In other moves Thursday, the Brewers claimed right-hander Tyson Miller off waivers from the Texas Rangers and reacquired catcher Payton Henry from the Miami Marlins for 17-year-old outfield prospect Reminton Batista.

PHILLIES: Philadelphia slugger Bryce Harper is set to have his damaged right elbow checked next week to see whether surgery will be needed.

The two-time NL MVP tore an elbow ligament in April and couldn’t play the outfield for the rest of the year.

TRADE: Pittsburgh acquired first baseman Ji-Man Choi from Tampa Bay on Thursday in exchange for minor league pitcher Sam Hartman.