Monocular vision, with either one eye only, or with one eye that meets standards ,and the other eye which does not, can be approved with special issuance for all classes of medical certificates, but come with a six-month waiting period. Usually a statement of demonstrated ability (SODA), in an aircraft, is required.

Intentional monocular intervention such as monocular contact lenses (one far, one near) are not acceptable.

https://www.faa.gov/pilots/safety/pi...lot_Vision.pdf

https://www.aviationmedicine.com/art...ction-surgery/

https://www.aviationmedicine.com/art...faa-standards/

The only monocular vision correction that the FAA does authorize is surgical; correction by a contact lens, for example (MVCL - monovision contact lens) is authorized. Interestingly, the FAA allows pilot surgical correction of monovision, but not controllers.

I have no personal experience with either the contact lense monovision lenses, or intraocular lense monovision or monovision correction.