Chukwunonye has represented Nigeria on junior levels at the 2008 FIFA U-17 Women's World Cup and 2012 FIFA U-20 Women's World Cup. At senior level she was part of Nigeria's squads in the FIFA Women's World Cup tournaments of 2011 and 2015 as well as the African Women's Championship in the 2010, 2012 and 2014 editions, winning the tournament twice (2010 and 2014).