Some U.S. ski resorts already have rules about drones set up. Each country is going to have different regulations.
Here is one from Red River Ski and Summer Resort in New Mexico (bold added). Came up when I searched on "ski resort drone restriction". Steamboat and Mt. Bachelor use similar language.
Out of safety concerns for guests, employees, and ski and summer area property, as well as concerns for individual privacy, Red River Ski & Summer Area prohibits the operation or use of unmanned aerial systems, or drones, by the general public – including recreational users and hobbyists – without the prior written authorization from the Ski Area. This prohibition includes drones used for filming or videotaping, as well as any drone use by media or journalists operating above or within Red River Ski & Summer Area boundaries. This prohibition on drone operations or use extends to any drones launched or operated from Red River Ski & Summer Area special use permitted property, as well as drones launched from private property outside of the RRSA boundaries. Please contact a Walt Foley, Deputy General Manager of the Red River Ski & Summer Area, at 575-754-2223 x 204 if you have any questions or if you seek prior authorization to operate any aerial drones. Any authorized operation of aerial drones may be governed by Federal Aviation Administration (FAA) rules and regulations, local law enforcement, and the U.S. Forest Service rules, as well as those policies separately established by this Resort, which may include certification, training, insurance coverage, indemnification requirements, and waivers or releases of liability. Any violation of this policy may involve suspension of your skiing or snowboarding privileges, or the revocation of your season ski or summer pass, as well as confiscation of any drone equipment, and may subject violators to any damages, including, but not limited to, damages for violations of privacy and/or physical or personal injuries or property damage, as well as regulatory fines and legal fees.