In 2013, Strop pitched as a reliever in the [[2013 World Baseball Classic|World Baseball Classic]] for the championship winning [[Dominican Republic national baseball team|Dominican Republic]].

 

Strop is known for the unique way he wears his hat while pitching, slightly crooked to his left.<ref>{{Cite news|url=https://chicago.cbslocal.com/2015/05/18/grote-the-story-behind-pedro-strops-crooked-hat/|title=Grote: The Story Behind Pedro Strop's Crooked Hat|date=2015-05-18|access-date=2018-09-08|language=en}}</ref>