According to Rabbi Heineman of the Star-K in Baltimore, one can use Hand Sanitizer as well as Liquid Foam (pump) Soap on Shabbos and Yom Tov.
From The KIB: Pesach News – Avocado Oil and Spray
All Pure Virgin Avocado Oil & Spray (without additives), are fine for use on Pesach without a special Pesach designation on the label.