I will isolate organelles such as mitochondria and lysosomes from fish gill with the intention of measuring marker enzymes within these organelles. Can we store these isolated organelles in -80° Celsius, without losing the enzyme activities?
yes, you can freeze them at -80C and use them later for measurements of enzymatic activities. We do that often with mitochondria. But you probably need to do freezing/thaw to make sure the membrane is ruptured.