Toronto Blue Jays Minor leagues The
Toronto Blue Jays selected Graveman in the eighth round, with the 235th overall selection, in the
2013 MLB draft. He received a signing bonus of $5,000, and was assigned to the Single-A
Lansing Lugnuts. Graveman would pitch to a 1–3 record and a 4.31 ERA over 39 innings in 2013. In Dunedin, he compiled an 8–4 record in 16 starts, with a 2.23 ERA and 64 strikeouts. In his Triple-A debut, he took the loss, pitching 6 innings in a 2–1 loss to the
Norfolk Tides. Graveman would allow only 1 earned run in his following 3 starts, bringing his ERA to 1.04 through 26 innings with Buffalo. He finished the 2014 minor league season with a 14–6 record over 167 innings, with an ERA of 1.83, 115 strikeouts, and a
WHIP of 1.03. He also gave up only 2 home runs and issued 31 walks, for a BB/9 of 1.7. He made his MLB debut on September 5, against the
Boston Red Sox. Graveman made 5 total appearances for the Blue Jays in 2014, and posted a 3.86 ERA, 4 strikeouts, no walks, and a 0.86 WHIP in 4 innings pitched.
Oakland Athletics On November 28, 2014, Graveman was traded to the
Oakland Athletics, along with
Brett Lawrie,
Sean Nolin, and
Franklin Barreto, for
Josh Donaldson. After opening the season as the fifth starter, Graveman was optioned to the Triple-A
Nashville Sounds on April 26, 2015, after going 1–2 with an 8.27 ERA in 16.1 innings. Graveman was called back up to the A's on May 23. He finished his rookie season with a 6–9 record and 4.05 ERA in 21 starts. Graveman batted in the
clean-up spot, and became the first pitcher to bat clean-up since
Babe Ruth in . Graveman became the A's only consistent starter for the 2016 season, notching 10 wins in 31 starts. With
Sonny Gray starting the 2017 season on the DL with a lat strain, Graveman was chosen to start on opening day, the first opening day start of his career. He pitched six innings, struck out seven and took the win over the
Los Angeles Angels. On April 17, 2017, Graveman was placed on the 10-day disabled list due to a right shoulder strain. His first game back with the A's, April 27, Graveman executed an unassisted
double play. The previous such play made by an Oakland pitcher was on July 11, 1971, by
Blue Moon Odom, who happened to be in attendance at
Angel Stadium and witnessed Graveman make the play. After starting a couple of games after being activated, Graveman was placed again on the disabled list on May 29 due to shoulder soreness. On March 20, Graveman was announced as the 2018 opening day starter for the second consecutive year. After starting the season 0–5 with an 8.89 ERA, Graveman was demoted to Triple-A on April 26. Graveman underwent
Tommy John surgery on July 24, 2018. He was non-tendered by the Athletics on November 30, 2018, and became a
free agent.
Chicago Cubs Graveman signed a one-year contract with an option for the 2020 season with the
Chicago Cubs on December 23, 2018. He missed the 2019 season while recovering from Tommy John surgery. He became a free agent after the season.
Seattle Mariners On November 26, 2019, Graveman signed a one-year contract with the
Seattle Mariners. Graveman made the Mariners Opening Day roster in 2020. On July 27, 2020, he made his Mariners debut. On August 17, 2020, it was announced that Graveman had a benign bone tumor in his cervical spine. Following a nearly month-long stay on the
injured list, he returned to the active roster as a
relief pitcher, Graveman finished the 2020 season with a 1–3 record and a 5.79 ERA in 11 games, including two starts. On October 28, 2020, the Mariners declined their $3.5 million team option on his contract for the season, making him a free agent. He re-signed with the Mariners the following day on a one-year, $1.25 million contract with a reported $2.5 million in incentives which, if reached, would represent a slight raise from the team option had it been exercised. In 30 appearances for the
Mariners in 2021, Graveman was 4–0 with 10 saves and recorded a 0.82 ERA with 34 strikeouts in 33 innings.
Houston Astros On July 27, 2021, Graveman was traded along with
Rafael Montero to the
Astros in exchange for
Abraham Toro and
Joe Smith. Graveman allowed no runs in six of his first seven appearances for the Astros, and struck out 32.2% of the batters he faced. On August 31, 2021, Graveman came into a scoreless game against the Mariners in the eighth inning. He loaded the bases on a walk, a single, and a hit by pitch, bringing Toro to the plate. On the eighth pitch of the at bat, Toro hit a
grand slam to right-center field which accounted for all of the runs scored in the game. With Houston in the second half of the 2021 season, Graveman was 1–1 with a 3.13 ERA, and struck out 27 batters in 23 innings. In Game 5 of the
2021 World Series, Graveman became the final MLB pitcher to record an at-bat, due to the adoption of the
designated hitter by the National League prior to the start of the
2022 season. On November 3, 2021, Graveman was declared a free agent.
Chicago White Sox On November 30, 2021, Graveman officially signed a three-year, $24 million contract with the
Chicago White Sox. Overall in his first year with the White Sox, Graveman went 3–4 in 65 games with an ERA of 3.18 in 65 innings while striking out 66 and made six saves.
Houston Astros (second stint) On July 28, 2023, Graveman was traded back to the
Astros in exchange for catcher
Korey Lee. In 23 games for Houston, he posted a 2.42 ERA with 24 strikeouts across innings of work. On January 16,
2024, Graveman underwent right shoulder surgery, with reports stating that he would likely miss the entirety of the season. Following the season, he elected free agency.
Arizona Diamondbacks On February 17, 2025, Graveman signed a one-year, $1.35 million contract with the
Arizona Diamondbacks. In 19 appearances for the Diamondbacks, he struggled to a 7.13 ERA with nine strikeouts across innings pitched. Graveman was
designated for assignment by Arizona on August 11. He was released by the Diamondbacks after clearing waivers the following day. ==Scouting report==