According to the Telegraph, Crystal had planned to offer 30 chalets this winter.
In a statement, the operator cited the impact of coronavirus for its decision.
"Sadly, due to the impact of Covid-19, Crystal Ski Holidays is no longer operating a chalet programme for the winter 2020/2021 season," said Crystal.
"We’re sorry for any disappointment, but the health and safety of our customers is our top priority."
Crystal said it would continue to offer a range of "great ski holiday options" this winter, including self-catering apartments and half-board hotels.