I believe most ski resorts have Ski instructors that speak English.
Some of my work colleges have had English lessons with the English Ski club Zürich. These are a set number of lessons I believe every Saturday at Flumserberg.
I will try to get more info in the morning. If not come with the BMW (English) ski club at Ibergeregg www.ibergeregg.ch or Atzmännig www.atzmaennig.ch night skiing but we don’t do lessons because nobody is going to spoil our way of skiing. (Badly)

DC

Found it www.iscz.ch