He has previously played in Major League Baseball (MLB) for the Tampa Bay Rays, Cleveland Indians, and Texas Rangers.

He pitched 2014 with the Hudson Valley Renegades and Bowling Green Hot Rods, compiling a combined 4–4 record and 3.35 ERA in 19 starts, and 2015 with Bowling Green and Charlotte Stone Crabs where he posted a 2–7 record and 2.20 ERA in 29 games (ten starts).

He was optioned back to Montgomery the next day and promoted to the Durham Bulls in June, where he spent the remainder of the season.

Wood came to Spring Training with the Rays in 2019, but was optioned to Minor League camp in late March.

[8] Wood was traded, along with Christian Arroyo, to the Cleveland Indians on July 28, 2019, in exchange for minor league outfielder Ruben Cardenas and international signing period slot money.

[13] On January 19, 2021, Wood signed a minor league contract with the Texas Rangers organization and was invited to Spring Training.

He spent the year with the Triple–A St. Paul Saints, also playing in one game for the rookie–level Florida Complex League Twins.