There are several insurers that do offer life insurance coverage for people age 80 or over.
Most of these plans are called "guaranteed issue" and you cannot be turned down due to health issues.
Some of the better-known insurers offering these plans include United of Omaha and Colonial Penn, among others.
Make sure you understand how the death benefit works, as these plans may have graded benefits the first two years you are insured, and then provide full coverage after two years.
Here's how to get life insurance for people over age 80.