Is it permissible to enroll children in foreign (American or British) schools that have curricula preserving Islamic values, separate between genders, emphasize the religious aspect, and offer Quran classes, given the scarcity of good Arab schools and frequent relocation?

If the school upholds Islamic values, separates genders, and emphasizes religion and the Quran, there is no harm in enrolling children in it, unless it promotes a religion other than Islam. The role of the parents remains crucial in monitoring the children and the school's influence on them.