Laçi was called up for the first time in international level at Albania national under-17 football team by coach Džemal Mustedanagić to participate in the 2013 UEFA European Under-17 Championship qualifying round in October 2012.
Laçi continued higherly as he was called up also in the Albania national under-21 football team by coach Skënder Gega for the start of the 2017 UEFA European Under-21 Championship qualification against Liechtenstein U21 on 28 March 2015.