The Foxes’ No. 40 has already made a number of appearances for his nation, and will now hope to help Croatia maintain their unbeaten record in Group H of the 2016 UEFA European Championship Qualifiers.
Niko Kovac’s men have won four and drawn one of their first five group fixtures and next face second-placed Italy in Split on 12 June.
Kramarić, who rounded off the scoring in City’s 5-1 win over Queens Park Rangers on Sunday, could first be involved when Croatia host Gibraltar in Varazdin on 7 June.
Be sure to check back into LCFC.com in the next few weeks to keep up-to-date with Andrej’s international involvement.