Born in Umeå, Sweden, Öhman played at Sandåkerns SK before joining Kalmar in 2007, where he began his professional career and signed his contract extension, keeping him until 2011. Öhman then made his Kalmar debut on the last game of the season against BK Häcken, but scored an own goal to give the opposition team an equaliser, as they lost 3–1. Throughout the 2011, Öhman didn't make an appearance, as he spent the most of the season, on the substitute bench and his own injury concerns. At the end of the season, Öhman signed a two-year contract extension, keeping him until 2013. The 2012 season saw Öhman getting a first team opportunities at Kalmar following his first appearance against GIF Sundsvall in the opening game of the season. As the 2012 season progressed, Öhman's first team was restricted to eighteen appearances in all competition, due to being on the substitute bench for the most of the season and his own injury concern. In the 2013 season, Öhman played the first four matches to the season, including two appearances in the right-back position against Syrianska on 31 March 2013 and a centre-forward against Elfsborg on 16 April 2013. After suffering a thigh muscle strain, Öhman didn't make his return to the first team on 20 June 2013, in a 2–0 win over Mjällby. Öhman then set up one of the goals, in a 2–1 win over Östers on 24 September 2013. After a hip problems ended his season, Öhman went on to make twenty-three appearances in all competitions. At the end of the 2013 season, Öhman signed a contract with Kalmar, keeping him until 2015. It came after when he was linked with a move to Premier League side Chelsea. In the 2014 season, Öhman switched number shirt from thirty to four ahead of the new season. However, he missed the start of the season with thigh problems and thigh muscle strain. Following his return, he played for the reserves for months before Öhman's first appearance of the season came on 20 August 2014, scoring his first goal for the club, in a 2–1 loss against Kristianstad in the second round of Swedish Cup. Later in the 2014 season, Öhman went on to make six appearances and scoring once in all competitions. In the 2015 season, Öhman found himself, competing with Nenad Đorđević over the centre-back position. As a result, Öhman found himself in the substitute bench or playing for the reserve side. Following Emin Nouri's injury, Öhman was given a handful of first team opportunities for the club throughout the rest of the season, playing either centre-back and right-back. Despite missing out, due to suspension and injury, Öhman went on to make twenty-five appearances in all competitions. At the end of the season, Öhman was offered a new contract by the club.
On 10 December 2015, Öhman was confirmed, along with country-man Robin Simović, to be joining Nagoya Grampus for the 2016 J-League season, Upon joining the club, Öhman was given a number three shirt ahead of the new season. Öhman made his Nagoya Grampus debut in the opening game of the season, in a 1–0 win over Júbilo Iwata, starting and playing the whole game. However, Öhman struggled in the first team place, with Akira Takeuchi and Shun Obu preferred instead, as he went on to make thirteen appearance in all competitions. At the end of the 2016 season, it was announced that Öhman would leaving Nagoya Grampus after one-season.
After a season in Japan, Öhman returned to Sweden, where he joined newly promoted Allsvenskan side Eskilstuna, signing a two-year contract on 2 January 2017.
Following Eskilstuna's relegation to the second tier, Öhman transferred to newly promoted IF Brommapojkarna on 26 January 2018. He signed a three year-deal with the Allsvenskan club.
Grimsby Town
On 8 January 2019, Öhman signed for League Two side Grimsby Town on a -year deal having previously played under Grimsby manager Michael Jolley at Eskilstuna.
International career
After representing both Sweden U17 and Sweden U19 side, Öhman was called up for the Sweden U21 side in 2012, but did not play. Previously, he was called by the U21 side a year before, but a toe fracture prevented him from doing so.
