Hansen made the move to the Frauen Bundesliga in 2014 to play for VFL Wolfsburg, where she began to develop multiple serious, long-term injuries between the years of 2015 and 2018.

In 2015, she missed that year's World Cup due to injury, and in 2017, she was part of the Norway squad that had their worst-ever finish in a Euro tournament with 0 goals and 0 points.

[9] Growing up, Hansen's father travelled with her to attend different football games; she was a fan of Manchester United[9] and FC Barcelona.

The siblings were raised by their father to be incredibly competitive between each other and to "like to make a fool out of the other"; they were never left without adult supervision, as they were prone to break out into fights.

This decision started debate within the club, and as a result, Hansen moved up to play as a starter with Lyn's G94 team, made up of boys a year older than her.

[18] She was a part of Stabæk's 2011 Norwegian Women's Cup winning team, who beat Røa on penalties after extra time.

She was also concerned by the instability of the club, which would end up folding the following summer after reaching the 2014 UEFA Women's Champions League Final.

[29] The following month, Wolfsburg reached the 2016 UEFA Women's Champions League Final, where Hansen sat out with the injury as her club was defeated 4–3 on penalties to Lyon after a 1–1 draw in regular time.

[30][31] After recovering from her leg fracture, Hansen returned to play in the 2016–17 UEFA Women's Champions League where Wolfsburg faced Lyon in the quarterfinal.

In the second leg, Hansen scored a penalty in the 82nd minute, but it ended up being nothing more than a consolation goal as the eventual champions won 2–1 on aggregate.

[32] Later that season, she won the domestic double with Wolfsburg for the first time, earning her first league title with the club as well as defeating SC Sand 2–1 in the 2017 DFB-Pokal final.

A few days after her Wolfsburg's league win was made official, Hansen faced the first penalty shootout of her career in the 2018 DFB-Pokal final.

[41] Hansen made her league debut with the club on the first matchday of the season, where Barcelona defeated CD TACÓN (now Real Madrid Femenino).

Barcelona were kept scoreless until they were rescued by a goal in the 80th minute from Kheira Hamraoui, who scored from a ball rebounded off a cross from Hansen.

On 16 May 2021, Hansen started the final against Chelsea and scored Barcelona's fourth goal of the match, a tap-in from a Martens assist in the 36th minute.

She revealed in a post-match interview that due to her years of injuries and repeated losses in Champions League finals that she used to feel that "football was no longer fun" and intended to retire prematurely back in 2018.

[60] In November 2021, she was temporarily taken off the active roster after experiencing a overly high heart rate and chest discomfort during a match.

[61] Hansen returned to the pitch in Barcelona's UEFA Women's Champion's League second group stage match against Arsenal, where she assisted Jenni Hermoso's second goal in a 4–0 win.

In addition to her typical skillful wing play, Graham Hansen became Barcelona's top goalscorer in the league, also having nearly as many assists, with the number of goal contributions giving her the edge.

[65] In 2011, 16-year-old Hansen was a part of the Norwegian under-19 team who finished as runners-up in the 2011 UEFA Women's U-19 Championship, after losing the final against Germany.

Hansen was also included in the Norwegian squad for the 2012 FIFA U-20 Women's World Cup in Japan, where the team reached the quarter-final.

[69] Winger Hansen and fellow teenage forward Ada Hegerberg at striker were important players in the Norwegian team which reached the competition's final;[70][71] within the young Norway side, the pair and 20-year-old Kristine Minde were considered veterans.

Prior to the match, Denmark's assistant coach criticized Hansen and Ada Hegerberg, saying that she "expected more of the two," and that her team's game plan was to shut down the pair of forwards.

At the end of it all, Norway scored zero goals, recording 3 losses, earning 0 points, and going out in the group stage of the tournament the first time since 1997.

[81] Norway's struggles continued into the group stages of qualification for the 2019 FIFA Women's World Cup where they were defeated by the Netherlands from an extra-time header from Vivianne Miedema, where Hansen left the pitch in tears.

[7] She also took up a captaincy role for the national team around this time, joining teammates Maren Mjelde and Ingrid Moe Wold.

[84] This would later turn out to be a breakout tournament for Hansen, as she became the standout forward in Norway's first major international competition since the retirement of Ada Hegerberg in 2017.

She ended the match on crutches after taking a bad knock on her left ankle that resulted in a penalty kick for Norway.

[35] Despite her injury sustained against South Korea, Hansen played Australia in the Round of 16, where Norway won unexpectedly after going to a penalty shootout.

Norway national team manager Martin Sjögren describes her similarly, saying her technical skills and speed are "exceptional.