Wood relocated to Germany in July 2007 to join the academy of
1860 Munich.
1860 Munich On January 29, 2011, Wood made his professional debut coming on in the 82nd minute as a substitute during a
2. Bundesliga match against
MSV Duisburg. Wood made his first career start for 1860 Munich in October 2011 against
Hansa Rostock. On November 30, 2012, against
VfR Aalen, Wood scored his first professional goal to secure a 1–1 draw for 1860 Munich. In December 2012, Wood signed his first professional contract, extending his stay with 1860 Munich through the 2016 season.
Loan to Erzgebirge Aue In February 2015, Wood moved to fellow
2. Bundesliga side
Erzgebirge Aue, signing a contract until 2017. For Aue, Wood made nine league appearances and scored three goals before seeing the club relegated to
3. Liga for the first time in six years.
Union Berlin In July 2015, Wood signed a three-year contract with
Union Berlin for an undisclosed fee. In his Union Berlin debut season, Wood broke the record for goals scored by an American in a single season in Germany's top two flights.
Hamburger SV On May 15, 2016, Wood signed a four-year deal with
Hamburger SV. On August 27, Wood made his
Bundesliga debut with Hamburg against
FC Ingolstadt. In the 1–1 draw, Wood scored the opening goal with a fantastic strike from the edge of the box, beating out Ingolstadt defender
Marvin Matip after receiving a long pass from keeper
René Adler. After his debut, manager
Bruno Labbadia commented that Wood "has lots of pace and uses his body skillfully". His goal was later voted as the Goal of the Week in the Bundesliga. Wood scored the first goal on September 10 at
Bayer Leverkusen after Bayer keeper
Bernd Leno came well off his line, but a late hat trick from
Joel Pohjanpalo made the result 3–1 in favor of Bayer. Following the match against Leverkusen, however, the entire Hamburg team entered a dry spell in scoring lasting over a month, resulting in the sacking of Labbadia on September 25. Wood made his first start under new manager
Markus Gisdol on October 25 in their second round
DFB-Pokal match against
Hallescher FC, scoring twice in the 4–0 victory. However, their problems in the league persisted, culminating in Wood being sent off in his first Bundesliga start under Gisdol, coming five days later at
1. FC Köln. After the match, Gisdol told reporters that Wood's red card, given when he elbowed Köln defender
Dominique Heintz in the stomach, was "inexcusable", and Wood was handed a three-match ban by the
DFB. After the 1. FC Köln match, Hamburg won three of their six remaining matches with Wood scoring one goal in the 2–1 win against
FC Schalke 04 on matchday 16. Hamburg finished the year ranked 16th. In the following year, Hamburg started with two defeats against
VfL Wolfsburg (1–0) and FC Ingolstadt both away (3–1), before the Northern Germans won six of the following ten matches and climbed to 13th. Wood scored a goal during this time against
Borussia Mönchengladbach in a 2–1 victory. The following four matches ended with three defeats and one draw, placing Hamburg in 16th after matchday 32. In the penultimate matchday, Hamburg drew 1–1 against FC Schalke 04 away, after the goal of
Pierre-Michel Lasogga in injury time. Before the goal of Lasogga, Wood had an opportunity to equalize. Through the draw, Hamburg saved themselves from relegation. The last matchday one week later, Hamburg won 2–1 against VfL Wolfsburg and saves with the 14th rank before the relegation. In the 2017–18 season, Hamburg lost in the first round of the DFB-Pokal (German Cup) against the third-tier side VfL Osnabrück 3–1. Hamburg won their first two matches with Wood scoring a goal in the 3–1 win away against 1. FC Köln. In the remaining matches of the first half of the season, Hamburg won only two matches and ranked 17th. In the second season-half, manager Gisdol was sacked after a 2–0 defeat against Cologne at home. His successor
Bernd Hollerbach was sacked after seven matches without a victory. The new president of the club, Bernd Hoffmann, sacked CEO
Heribert Bruchhagen and the director of sport,
Jens Todt, and the successor of Hollerbach became
Christian Titz, former head coach of the reserve team. Hamburg won four of their eight remaining matches with Wood scoring a penalty in a 3–1 win away against VfL Wolfsburg on matchday 32. Hamburg relegated despite a 2–1 win against Borussia Mönchengladbach on the last matchday for the first time in their history as VfL Wolfsburg won against Cologne. In the match against Borussia Mönchengladbach, Wood would see a red card.
Loan to Hannover 96 On July 9, 2018, it was announced that Wood would be joining
Hannover 96 on loan until the end of 2018–19 season with an option to buy.
Real Salt Lake On April 2, 2021,
Major League Soccer side
Real Salt Lake announced that it had signed Wood to a contract to take effect July 1, 2021 through the 2023 season. On April 13, 2021, Hamburger SV announced that Wood's contract was cancelled prematurely, allowing him to join Real Salt Lake immediately and in time for the season start. Following the 2022 season, his contract option was declined by Salt Lake.
Loan to Real Monarchs On October 7, 2021, Wood was sent on loan to Real Salt Lake's reserve side, Real Monarchs on a loan for the remainder of the
2021 USL Championship season.
New England Revolution Wood was selected
New England Revolution in the
2022 MLS Re-Entry Draft on November 22, 2022. He was officially signed by New England on December 5, 2022, on a one-year deal for the upcoming 2023 season. The deal additionally contained a club option for the 2024 season. Wood made his debut for his new club in the opening match of the
2023 season, on February 25, 2023, entering the match as a 64th-minute substitute for
Giacomo Vrioni in the Revolution's 1–0 victory over
Charlotte FC. In the Revolution's home opener on March 4, 2023, Wood scored his first goal for the Revolution and added an assist in the Revolution's 3–0 victory over
Houston Dynamo FC. On April 9, 2023, Wood scored the Revolution's 3rd goal in their 4–0 victory over
CF Montréal. On May 6, Wood scored the game-winner in the Revolution's 2–0 victory over Toronto FC. On May 27, Wood scored New England's second goal of the game in a 3–3 home draw against
Chicago Fire FC. Four days later he would score again in the Revolution's 3–3 draw against
Atlanta United FC. Wood scored his sixth goal of the season on June 10, 2023, in the Revolution's 3–1 victory over
Inter Miami CF. On June 24, Wood scored the Revolution's first goal in their 2–1 victory over Toronto FC. Wood finished the 2023 campaign with seven goals and five assists, second in scoring for the Revolution. On August 9, Wood scored an equalizing goal against
New York City FC in the
2024 Leagues Cup knockout stage. On August 24, Wood scored his first MLS career brace, helping the Revolution defeat the CF Montréal 5–0. ==International career==