Subsequently, he played for the Toronto Blue Jays, the Tampa Bay Rays, Texas Rangers, and Minnesota Twins before signing with the Red Sox ahead of the 2022 season.

When he was five months old, he was adopted by Jane and Clint Refsnyder, a couple of German and Irish descent from Laguna Hills, California, through Holt International Children's Services.

[19][20] After posting a .370 batting average and a .452 on-base percentage (OBP) in 13 games,[21] Refsnyder was promoted to the Tampa Yankees of the High–A Florida State League on April 19.

[22] He batted .283 with a .408 OBP and a .404 slugging percentage[21] in 117 games for Tampa, hitting six home runs and recording 51 RBIs.

[24] With the help of Marcus Thames, the Thunder's hitting coach, Refsnyder made changes to his swing that increased his power output.

[27] After batting .342 with six home runs in 60 games for Trenton,[28] Refsnyder was promoted to the Scranton/Wilkes-Barre RailRiders of the Triple–A International League on June 10.

[31] The Yankees gave Refsnyder an opportunity to compete for a spot with the major league team in 2015,[2] but assigned him to Scranton/Wilkes-Barre to start the season so that he could continue to work on his defense.

[33] With his callup, Refsnyder became the fourth position player in MLB history to be born in South Korea, following Hee-seop Choi, Shin-Soo Choo, and Jung-ho Kang.

[37] Refsnyder finished the regular season with a .302 average and two home runs in the major league, where he played second base.

[41] Following injuries to first baseman Mark Teixeira and Dustin Ackley, the Yankees began to play Refsnyder at first base.

[45] Refsnyder competed for a role on the Yankees' Opening Day roster in 2017, but was optioned to Scranton/Wilkes-Barre for the start of the season.

[46] When the Yankees acquired David Robertson, Todd Frazier, and Tommy Kahnle on July 19, Refsnyder was designated for assignment to make room on their 40-man roster.

[54] Primarily playing against left-handed pitchers, Refsnyder batted .167 in 40 games before the Rays designated him for assignment on June 19.

[61] On April 7, 2019, the Diamondbacks traded Refsnyder to the Cincinnati Reds in exchange for a player to be named later or cash considerations.

[66] The Minnesota Twins signed Refsnyder to a minor league contract with a non-roster invitation to spring training on December 17, 2020.

When Kepler went on the injured list, on May 30, Twins manager Rocco Baldelli said that he had no choice but to "ride Refsnyder" in center field.

[72] Refsnyder finished the 2021 season with a .245 batting average, two home runs, 12 RBIs, and one stolen base in 51 major league games.

[74] After starting the season batting 14-for-35 (.400) for the Worcester Red Sox of the International League,[75] he was added to Boston's active roster on April 19.

[80] The Red Sox placed Refsnyder on the injured list due to back spasms on October 3, ending his season with a .307 average, a .384 OBP, and six home runs in 177 plate appearances across 57 major league games.

[82] On June 3, 2023, Refsnyder signed a one-year, $1.85 million contract extension with the Red Sox that included a club option for the 2025 season.

[84] During spring training in 2024, Refsnyder fractured a toe on his left foot, delaying his availability for the regular season.