Born in
West Bromwich, Blissett had youth spells at
Staffordshire University and
Kidsgrove Athletic. He joined
Romulus in the 2011 summer, after having a successful trial, and scored 13 goals in his only season at the club. On 17 August 2012 Blissett signed a one-year deal with
Conference Premier side
Kidderminster Harriers. On 4 March of the following year, after being rarely used, he joined fellow league team
Cambridge United in a one-month loan deal, with
Michael Gash moving in the opposite direction. Blissett also had two loan stints at
Hednesford Town in 2014. On 20 November of that year he joined
Bristol Rovers; initially in a loan deal, he signed permanently in January 2015. After achieving promotion with Bristol Rovers in 2015, Blissett was loaned to
Tranmere Rovers on 21 August. He returned to his parent club in October, and made his
Football League debut on 20 October, coming on as a second-half
substitute for
Matt Taylor in a 0–0 home draw against
Notts County. Whilst at
Bristol Rovers, the forward was loaned out to both
Tranmere Rovers and
Lincoln City. He played 5 times (scoring once) for Tranmere, and played 3 times for Lincoln.
Torquay United On 14 January 2016 Nathan penned an eighteen-month contract with
Torquay United with the agreement being initially until the end of the season, with the option of another year. He made 17 appearances for Torquay in which he scored 8 goals. In the 2016–17 season, Blissett played half a season for Torquay before making the move up to
League 2 with promotion hopefuls
Plymouth Argyle.
Plymouth Argyle In the
January transfer window of the 2016–17 season, Nathan Blissett signed a deal with
Plymouth Argyle worth £15,000. He was the first player to have a fee paid by Argyle since 2012. Blissett scored his first goal for the club in a 1–1 draw away to
Wycombe Wanderers.
Macclesfield Town On 15 January 2018, Blissett joined
Macclesfield Town on a loan until the end of the season. Blissett went on to score 5 goals in 16 appearances, helping Macclesfield Town to win the
National League. After his release from
Plymouth Argyle, Blissett went on to sign a permanent deal with
Macclesfield Town.
Solihull Moors On Friday 21 December 2018, Blissett signed for National League side
Solihull Moors on a deal until the end of the 2019–20 season. He made his debut for the club on 26 December 2018, in a 4–0 away victory at
Chesterfield in which he scored the opening two goals. In all, Blissett scored 15 times in 52 games for Solihull. He was released at the end of the 2019–20 season.
Maidenhead United Blissett joined
Maidenhead United on 25 July 2020. He left the Magpies at the end of the 2021-22 season, after nine goals in 59 games.
AFC Telford United In June 2022, Blissett joined
National League North club
AFC Telford United.
Stafford Rangers On 25 February 2023, Blissett signed for
Northern Premier League Premier Division club
Stafford Rangers having been released by
AFC Telford United the previous day.
Bromsgrove Sporting In February 2024, Blissett joined
Southern League Premier Division Central club
Bromsgrove Sporting. On 16 May 2024, Blissett announced his retirement from football.
Hednesford Town Blissett came out of retirement to join
Hednesford Town in January 2025. In March 2026, having missed over six months through injury, he joined
North West Counties Division One South club
Telford Town on a dual-registration basis. ==Personal life==