Solórzano made his debut for Nicaragua in a March 1999 UNCAF Nations Cup match against Guatemala and has, as of September 2014, earned a total of 49 caps, scoring no goals. He has represented his country in 9 FIFA World Cup qualification matches and played at the 1999, 2001, 2003, 2007, 2009, 2011 and 2013 UNCAF Nations Cups as well as at the 2009 CONCACAF Gold Cup.