I hope we can all help those parents moving to Madrid.
My son has studied in two of them:
Numont School, a British Primary School located in the city center. Probably one of the best to study Primary. Really small but familiar and with a high level.
Scandinavian School of Madrid, this school has both, a Swedish Section and an International Section, this one uses English as the language of instruction and follows the Cambridge Primary and Secondary Curriculum (with IGSCE & A Levels). They are located in "La Moraleja". A small and very familiar school with small sized classes.
Both of them are great.
Any suggestions on short term ie 2-4 weeks for Spanish language schools for adults coming from the US with very limited Spanish skills