In December 2010 Asante returned for a second spell at Sky Blue FC, after Jim Gabarra, her coach at Washington Freedom, took the reins at Sky Blue. With the demise of WPS prior to the 2012 season, Asante signed a contract with Swedish club Kopparbergs/Göteborg FC. Her first match for Göteborg was back at Arsenal in the UEFA Women's Champions League quarter final, a 3–1 first leg defeat. Asante played 41 league games for Göteborg over the two seasons, scoring nine goals. She won the Swedish Cup and the Swedish Super Cup with KGFC, before she signed for national champions LdB FC Malmö in October 2013. Due to a foot injury, it was not expected that Asante could play in Malmö's looming Champions League fixture with holders VfL Wolfsburg. Asante, won several titles at FC Rosengård (formerly known as LdB Malmö) including the Damallsvenskan league 2014, 2015, the Swedish Cup (Svenska Cupen) 2016 and the Swedish Super Cup (Svenska Supercupen) 2016, 2017 and runners up in 2015. Anita has reached the quarter finals of Champions League three seasons with FCR.