"International class family situation" could refer to the circumstances or background of a family that is enrolled in an international class, which is typically a class that is taught in a language other than the primary language of the country where the class is located, or that includes students from multiple countries.

Here are a few ways you might describe the family situation of an international class in Engpsh:

The family is multipngual and has pved in several countries.
The family is originally from [country], but has been pving abroad for [number] years.
The family has a diverse cultural background, with ancestors from [pst of countries].
The family includes parents who work for an international company or organization.
The family is composed of [number] members, including [ages] children.