Yes. Saatva mattresses can be used with an adjustable bed. This would include a Saatva Adjustable Bed or a third-party bed from a different manufacturer.
Saatva offers three foundation bases currently—one non-adjustable and two adjustable.

The Saatva Adjustable Base ($945/queen) elevates the head and feet. This base has a thin profile and can easily be paired with your existing bed frame. This is the most budget-friendly option if you want a Saatva base with a Saatva mattress.
The Saatva Adjustable Plus Base ($1299/queen) has a thicker profile and offers more customization as well. This base also can adjust head and feet, as well as full body massage, wireless remote control, under-bed USB charging, underbed lighting, and presets like anti-snore or zero gravity.
Standard

Upper-Flex

This base is available in the standard or split configuration. Opting for the split configuration allows for different adjustments on each side, but also adds $899 (on the queen size).
The Plus also has the option to use the adjustable panel without the legs, if you want to use it with a platform bed.