Acevedo made his debut for Honduras in a February 2008 friendly match against Paraguay, coming on as a second-half substitute for Sergio Mendoza. He has, as of 1 August 2012, earned a total of 18 caps, scoring no goals. He has represented his country at the 2009, and 2011 UNCAF Nations Cups as well as at the 2009 CONCACAF Gold Cup.