Crnogorčević, who has dual nationality, turned down an approach to play for Croatia when she was 17. Instead she scored 25 goals in 29 games for the Switzerland U19 team. At the 2009 UEFA Women's Under-19 Championship in Belarus, she reached the semi-final with her team. On 12 August 2009 she made her debut for the Swiss senior team in a friendly against Sweden. In August 2010, she scored five goals in an 8–0 World Cup qualifying win over Kazakhstan.