On 3 May 2010, Wood scored the winning goal for Grimsby Towns youth team in a 1–0 win over Shrewsbury Town’s youth team in the Midland Floodlit Youth cup final. Wood was named Grimsby Town supporters Young Player of the Year for the 2010–11 season.

During the 2012–13 season Wood was ever present as the club missed out on lifting the FA Trophy at Wembley Stadium and despite leading the Conference for the majority of the season Town were to lose out in the play-offs to Newport County. Wood was released by Town on 2 May 2013, at the time he had been the club’s current longest serving player. He bowed out of Grimsby having made 113 league appearances, scoring 1 goal.

On 28 May 2013 it was announced that Wood had signed for Alfreton Town on a one-year contract. He made his debut in the 1–0 defeat to Dartford on the opening day of the season and scored his first goal at the end of September in a defeat to Braintree Town. After featuring in 49 of Alfreton’s 50 games in 2013–14 he was named as the Supporters Player of the Season and the following month signed a new two-year contract, keeping him at the club until 2016.

Wood made his debut for England C in September 2013, coming off the bench in a 1–0 defeat to Latvia under-23s. He was called into the squad again the following year for the game against Jordan under-23s.

He returned to Alfreton Town in August 2017. On 19 April 2018, Wood received a six-year ban from all football activity by the Football Association for match fixing. This is due to expire on 8 March 2024.

In February 2017 Wood was banned from driving for 12 months after being convicted of drink driving. In July 2017 he was caught driving whilst on his ban.

Wood pleaded guilty to assault following an incident at North Kesteven Leisure Centre in North Hykeham in August 2017, he was fined £154 and ordered to pay £100 compensation and a victim surcharge of £30.

On 19 April 2018 Wood was handed a six-year suspension from all football activity by the Football Association. A tribunal found that Wood had deliberately been booked whilst playing for Lincoln City in their FA Cup victories over Ipswich Town and Burnley during the 2016–17 season. Betting companies said that seven people had placed unusual bets on Wood being booked in both games, two of which were found to be close friends of Wood’s. He also admitted 22 charges of betting on games himself.