Karagenç received her license for Sakarya Yenikent Güneşspor on October 27, 2004, where she was until January 2007. During this time, no leagues were held in the country. With the reestablishment of the women’s football leagues, she transferred to her hometown club Gazi Üniversitesispor. In the six seasons, she played for Gazi Üniversitesispor, she capped 70 times, scored a total of 32 goals, and enjoyed three league championships in 2006–07, 2007–08 and 2009–10.
For the 2012–13 season, she signed for te İzmir-based club Konak Belediyespor. She became again champion in her first season with the team.
She played with Konak Belediyespor at the 2013–14 UEFA Women’s Champions League in the qualification round matches in August 2013 and in the knockout stage matches in October 2013.
By October 2015, she transferred to the Istanbul-based team Beşiktaş JK to play in the Second League. At the end of the 2015–16 season, she enjoyed the league champion title and the promotion of her team to the First League.
On September 19, 2009, she made her first appearance in the women’s U-19 national team playing against Serbia at the 2010 UEFA Women’s U-19 Championship First qualifying round – Group 7 match. At the same tournament, she played also against France and Georgia. Karagenç participated at the 2010 UEFA Women’s U-19 Championship Second qualifying round – Group 1 matches against Sweden, Ireland and England. her further appearances in the women’s U-19 national team were at the 2011 UEFA Women’s U-19 Championship First qualifying round – Group 9 (Romania, Czech Republic and Northern Ireland), at the 2012 UEFA Women’s U-19 Championship Second qualifying round (Iceland, Germany and Wales) as well as at the 2012 UEFA Women’s U-19 Championship – Group A (Portugal, Denmark and Romania). In the women’s U-19 national team, she capped 32 times netting one goal.
She played for the first time for the women’s national team on April 15, 2009 in a friendly match with Belarusian women. Karagenç was team member in the 2011 FIFA Women’s World Cup qualification – UEFA Group 5 match against Austria. She played in nine matches of the UEFA Women’s Euro 2013 qualifying – Group 2 round against Germany, Switzerland, Spain, Romania and Kazakhstan. In 2013, Karagenç took part at the 2015 FIFA Women’s World Cup qualification – UEFA Group 6matches against the English and Montenegron women.